Identities for combinatorial sums involving trigonometric functions

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2023 | other

Upper bounds and asymptotic expansion for Macdonald's function and the summability of the Kontorovich-Lebedev integrals

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2023 | journal-article

A modification of the Prudnikov and Laguerre polynomials

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2022 | journal-article

Convolution-Like Structures on Multidimensional Spaces

Lecture Notes in Mathematics

2022 | book-chapter

Convolution-like Structures, Differential Operators and Diffusion Processes

Lecture Notes in Mathematics

2022 | book-chapter

Discrete Fourier-Jacobi transform

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2022 | journal-article

Discrete index transformations with squares of Bessel functions

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2022 | journal-article

Discrete orthogonal polynomials associated with Macdonald functions

RAMANUJAN JOURNAL

2022 | journal-article

Generalized Convolutions for Sturm-Liouville Operators

Lecture Notes in Mathematics

2022 | book-chapter

On the theory of orthogonal polynomials for the weight x(nu) exp (-x - t/x). I

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2022 | journal-article

On the theory of orthogonal polynomials for the weight x(v) exp(-x - t/x). II

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2022 | other

Preface

Lecture Notes in Mathematics

2022 | other

Preliminaries

Lecture Notes in Mathematics

2022 | book-chapter

Product formulas and convolutions for Laplace-Beltrami operators on product spaces: beyond the trivial case

MATHEMATISCHE ANNALEN

2022 | journal-article

The Whittaker Convolution

Lecture Notes in Mathematics

2022 | book-chapter

A method of composition orthogonality and new sequences of orthogonal polynomials and functions for non-classical weights

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2021 | journal-article

A unified construction of product formulas and convolutions for Sturm-Liouville operators

ANALYSIS AND MATHEMATICAL PHYSICS

2021 | journal-article

Discrete Index Whittaker Transforms

RESULTS IN MATHEMATICS

2021 | journal-article

Discrete Kontorovich-Lebedev transforms

RAMANUJAN JOURNAL

2021 | journal-article

Discrete Lebedev's index transforms

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO

2021 | journal-article

Discrete Lebedev-Skalskaya transforms

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2021 | journal-article

Discrete index transformations with Bessel and Lommel functions

JOURNAL OF ANALYSIS

2021 | journal-article

LEVY PROCESSES WITH RESPECT TO THE WHITTAKER CONVOLUTION

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

2021 | journal-article

On the Laguerre fractional integro-differentiation

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2021 | journal-article

On the orthogonality and convolution orthogonality via the Kontorovich-Lebedev transform

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

2021 | journal-article

Orthogonal Polynomials with Ultra-Exponential Weight Functions: An Explicit Solution to the Ditkin-Prudnikov Problem

CONSTRUCTIVE APPROXIMATION

2021 | journal-article

Discrete Mehler-Fock transforms

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2020 | journal-article

Index transforms with the product of the associated Legendre functions

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2019 | journal-article

Index transforms with the squares of Kelvin functions

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2019 | journal-article

On the Weber type integral equation related to the Weber-Titchmarsh problem

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

2019 | journal-article

On the product formula and convolution associated with the index Whittaker transform

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2019 | journal-article

Identities involving Bernoulli and Euler polynomials

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2018 | journal-article

Index transforms with Weber-type kernels

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2018 | journal-article

On the Weber integral equation and solution to the Weber-Titchmarsh problem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2018 | journal-article

On the curious series related to the elliptic integrals

RAMANUJAN JOURNAL

2018 | journal-article

THE SPECTRAL EXPANSION APPROACH TO INDEX TRANSFORMS AND CONNECTIONS WITH THE THEORY OF DIFFUSION PROCESSES

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

2018 | journal-article

Lebedev type index transforms with the squares of the associated Legendre functions

ACTA MATHEMATICA HUNGARICA

2017 | journal-article

New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic PDEs

JOURNAL OF DIFFERENTIAL EQUATIONS

2017 | journal-article

Index transforms with the squares of Bessel functions

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2016 | journal-article

New index transforms of the Lebedev-Skalskaya type

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2016 | journal-article

On some properties of the Abel-Goncharov polynomials and the Casas-Alvero problem

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2016 | journal-article

Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values

Analysis

2015 | journal-article

New index transforms with the product of Bessel functions

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2015 | journal-article

New summation and transformation formulas of the Poisson, Muntz, Mobius and Voronoi type

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2015 | journal-article

On the generalized Lebedev index transform

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2015 | journal-article

New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2014 | journal-article

ON A POLYNOMIAL SEQUENCE ASSOCIATED WITH THE BESSEL OPERATOR

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

2014 | journal-article

ON THE HALF-HARTLEY TRANSFORM, ITS ITERATION AND COMPOSITIONS WITH FOURIER TRANSFORMS

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS

2014 | journal-article

On especial cases of boas-buck-type polynomial sequences

Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava

2014 | book-chapter

On the iterated Stieltjes transform and its convolution with applications to singular integral equations

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2014 | journal-article

The Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

2014 | journal-article

A Convolution Operator Related to the Generalized Mehler-Fock and Kontorovich-Lebedev Transforms

Results in Mathematics

2013 | journal-article

A Voronoi-type summation formula involving σiτ(n) and index transforms

Integral Transforms and Special Functions

2013 | journal-article

A class of index transforms generated by the Mellin and Laplace operators

Journal of Mathematical Analysis and Applications

2013 | journal-article

Another proof of spira's inequality and its application to the riemann hypothesis

Journal of Mathematical Inequalities

2013 | journal-article

Central factorials under the Kontorovich-Lebedev transform of polynomials

Integral Transforms and Special Functions

2013 | journal-article

Integral and series transformations via Ramanujan's identities and Salem's type equivalences to the Riemann hypothesis

Integral Transforms and Special Functions

2013 | journal-article

On a heat kernel for the index Whittaker transform

Carpathian Journal of Mathematics

2013 | journal-article

On some rajchman measures and equivalent salem's problem

Communications in Mathematical Analysis

2013 | journal-article

On the Yor integral and a system of polynomials related to the Kontorovich-Lebedev transform

Integral Transforms and Special Functions

2013 | journal-article

The Kontorovich-Lebedev transform as a map between d-Orthogonal polynomials

Studies in Applied Mathematics

2013 | journal-article

The use of the Kontorovich-Lebedev transform in an analysis of regularized Schrödinger equation

Integral Transforms and Special Functions

2013 | journal-article

A new Kontorovich-Lebedev-like transformation

Communications in Mathematical Analysis

2012 | journal-article

An Index Integral and Convolution Operator Related to the Kontorovich-Lebedev and Mehler-Fock Transforms

Complex Analysis and Operator Theory

2012 | journal-article

Corrigendum to the Note "The Fourier-Stieltjes transform of Minkowski's ?(x) function and an affirmative answer to Salem's problem" [C. R. Acad. Sci. Paris, Ser. I 349 (11-12) (2011) 633-636]

Comptes Rendus Mathematique

2012 | journal-article

Fundamental solutions of the fractional two-parameter telegraph equation

Integral Transforms and Special Functions

2012 | journal-article

On a Riemann-Liouville fractional analog of the Laplace operator with positive energy

Integral Transforms and Special Functions

2012 | journal-article

Voronoi-Nasim summation formulas and index transforms

Integral Transforms and Special Functions

2012 | journal-article

A general class of voronoi's and koshliakov-ramanujan's summation formulas involving d k(n)

Integral Transforms and Special Functions

2011 | journal-article

A radial version of the Kontorovich-Lebedev transform in the unit ball

2011 | journal-article

Index integral representations for connection between cartesian, cylindrical, and spheroidal systems

Integral Transforms and Special Functions

2011 | journal-article

Multidimensional Kontorovich-Lebedev transforms

Integral Transforms and Special Functions

2011 | journal-article

The Fourier-Stieltjes transform of Minkowski's ?(x) function and an affirmative answer to Salem's problem

Comptes Rendus Mathematique

2011 | journal-article

The heat kernel and heisenberg inequalities related to the kontorovich-lebedev transform

Communications on Pure and Applied Analysis

2011 | journal-article

A class of integral equations and index transformations related to the modified and incomplete Bessel functions

2010 | journal-article

A class of integral equations and index transformations related to the modified and incomplete bessel functions

Journal of Integral Equations and Applications

2010 | journal-article

An analog of Morgan's theorem for the Kontorovich-Lebedev transform

Advances in Pure and Applied Mathematics

2010 | journal-article

Convolutions related to the Fourier and Kontorovich-Lebedev transforms revisited

Integral Transforms and Special Functions

2010 | journal-article

Donoho-Stark and Paley-Wiener theorems for the G-transform

Advances in Applied Mathematics

2010 | journal-article

Eigenfunctions and fundamental solutions of the fractional two-parameter Laplacian

International Journal of Mathematics and Mathematical Sciences

2010 | journal-article

Generalized Fourier transform associated with the differential operator Dz n in the complex domain

Integral Transforms and Special Functions

2010 | journal-article

On the Watson L2-theory for index transforms I

Integral Transforms and Special Functions

2010 | journal-article

On the watson L2-theory for index transforms II

Integral Transforms and Special Functions

2010 | journal-article

Properties of index transforms in modeling of nanostructures and plasmonic systems

Journal of Mathematical Physics

2010 | journal-article

A class of polynomials and discrete transformations associated with the Kontorovich-Lebedev operators

Integral Transforms and Special Functions

2009 | journal-article

Convolution operators related to the Fourier cosine and Kontorovich-Lebedev transformations

Results in Mathematics

2009 | journal-article

Harmonic analysis of the Lebedev-Stieltjes integrals

Asian-European Journal of Mathematics

2009 | journal-article

On the orthogonality of the MacDonald's functions

Journal of Mathematical Analysis and Applications

2009 | journal-article

Asymptotic and summation formulas related to the Lebedev integrals

Integral Transforms and Special Functions

2008 | journal-article

Hardy-type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case

Journal of Mathematical Analysis and Applications

2008 | journal-article

On a progress in the Kontorovich-Lebedev transform theory and related integral operators

Integral Transforms and Special Functions

2008 | journal-article

Uncertainty principles for the Kontorovich-Lebedev transform

Mathematical Modelling and Analysis

2008 | journal-article

Certain isometries related to the bilateral Laplace transform

Mathematical Modelling and Analysis

2006 | journal-article

L 2-boundedness of the Gamma-product transform

Lithuanian Mathematical Journal

2006 | journal-article

On a testing-function space for distributions associated with the Kontorovich-Lebedev transform

Collectanea Mathematica

2006 | journal-article

The plancherel and Hausdorff-Young type theorems for an index transformation

Zeitschrift fur Analysis und ihre Anwendung

2006 | journal-article

Analog of the Hausdorff-Young theorem for the Lebedev integral

Integral Transforms and Special Functions

2005 | journal-article

L p -boundedness of general index transforms

Lithuanian Mathematical Journal

2005 | journal-article

Index transforms associated with generalized hypergeometric functions

Mathematical Methods in the Applied Sciences

2004 | journal-article

On the least values of Lp-norms for the Kontorovich-Lebedev transform and its convolution

Journal of Approximation Theory

2004 | journal-article

On the lebedev transformation in hardy's spaces

International Journal of Mathematics and Mathematical Sciences

2004 | journal-article

Boundedness and inversion properties of certain convolution transforms

Journal of the Korean Mathematical Society

2003 | journal-article

On the Kontorovich-Lebedev transformation

Journal of Integral Equations and Applications

2003 | journal-article

Index transforms associated with Bessel and Lommel functions

Zeitschrift fur Analysis und ihre Anwendung

2002 | journal-article

Index transforms associated with products of Whittaker's functions

Journal of Computational and Applied Mathematics

2002 | journal-article

On the index integral transformation with Nicholson's function as the kernel

Journal of Mathematical Analysis and Applications

2002 | journal-article

The Titchmarsh integral transformation by the index of a Bessel function

Journal of Computational and Applied Mathematics

2000 | journal-article

On the Stabilization of the Inversion of Some Kontorovich-Lebedev Like Integral Transforms

1998 | journal-article

Index integral transformations of Titchmarsh type

Journal of Computational and Applied Mathematics

1997 | journal-article

Index Transforms

1996 | book

The Hypergeometric Approach to Integral Transforms and Convolutions

1994 | book

Index Transforms

| book

SOBOLEV TYPE SPACES ASSOCIATED WITH THE KONTOROVICH-LEBEDEV TRANSFORM

| conference-paper