Anvar Hasanov - Academia.edu (original) (raw)

Papers by Anvar Hasanov

Research paper thumbnail of Generalized hypergeometric function and its applications to solving the equation of a beam with variable height by the Kelvin-Voight model

Nucleation and Atmospheric Aerosols, 2023

Research paper thumbnail of Solutions to a System of Hypergeometric Type Differential Equations in Partial Derivatives of the Third Order and Its Integral Representations - Решения Системы Дифференциальных Уравнений Гипергеометрического Типа В Частных Производных Третьего Порядка И Его Интегральные Представления

Zenodo (CERN European Organization for Nuclear Research), Jan 31, 2022

Research paper thumbnail of Formula for analytic continuation of the Kampe de Feriet hypergeometric function

Итоги науки и техники. Серия, Современные проблемы математики, фундаментальные направления, 2022

Research paper thumbnail of The Fundamental Solution for One Class of Degenerate Elliptic Equations

Research paper thumbnail of Decomposition formulas for some triple hypergeometric functions

Journal of Mathematical Analysis and Applications, Dec 1, 2006

Research paper thumbnail of Functional Relations Involving Saran's Hypergeometric Functions Feand F(3)

Sunsu mit eung-yongsuhak, Feb 28, 2012

Research paper thumbnail of Hypergeometric Expansions of Solutions of the Degenerating Model Parabolic Equations of the Third Order

Lobachevskii Journal of Mathematics, 2020

Research paper thumbnail of The solution of the Cauchy problem for generalizedEuler-Poisson-Darboux equation

International journal of applied mathematics and statistics, Feb 16, 2007

ABSTRACT

Research paper thumbnail of Decomposition formulas associated with the Lauricella multivariable hypergeometric functions

Computers & mathematics with applications, Apr 1, 2007

Research paper thumbnail of Some decomposition formulas associated with the Lauricella function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo>(...

Applied Mathematics Letters, Feb 1, 2006

Research paper thumbnail of Decomposition formulas for the double hypergeometric functions G1 and G2

Applied Mathematics and Computation, Apr 1, 2007

Research paper thumbnail of A solution of the Neumann–Dirichlet boundary value problem for generalized bi-axially symmetric Helmholtz equation

Complex Variables and Elliptic Equations, Apr 1, 2008

Research paper thumbnail of <b>Fundamental solutions of generalized bi-axially symmetric Helmholtz equation</b>

Complex Variables and Elliptic Equations, Aug 1, 2007

Research paper thumbnail of Some Decomposition Formulas Associated with the Saran Function Fe

Honam Mathematical Journal, Dec 25, 2010

Research paper thumbnail of Functional Relations Involving Srivastava's Hypergeometric Functions H B and F (3)

B. C. Carlson [Some extensions of Lardner's relations between and Bessel functions, SIAM J. M... more B. C. Carlson [Some extensions of Lardner's relations between and Bessel functions, SIAM J. Math. Anal. 1(2) (1970), 232-242] presented several useful relations between Bessel and generalized hypergeometric functions that generalize some earlier results. Here, by simply splitting Srivastava's hypergeometric function into eight parts, we show how some useful and generalized relations between Srivastava's hypergeometric functions and can be obtained. These main results are shown to be specialized to yield certain relations between functions , , , , and their products including different combinations with different values of parameters and signs of variables. We also consider some other interesting relations between the Humbert function and Kamp de Friet function, and between the product of exponential and Bessel functions with Kamp de Friet functions.

Research paper thumbnail of Задача Холмгрена для эллиптического уравнения с сингулярными коэффициентами

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, Nov 1, 2020

Research paper thumbnail of Some Properties of Horn Type Second Order Double Hypergeometric Series

DOAJ (DOAJ: Directory of Open Access Journals), Apr 1, 2018

Research paper thumbnail of A family of potentials for elliptic equations with one singular coefficient and their applications

Mathematical Methods in The Applied Sciences, Apr 12, 2020

Research paper thumbnail of Exact Solutions for a Partial System of Second-Order Hypergeometric Equations and Some Decomposition Formulas

Lobachevskii Journal of Mathematics, Nov 1, 2022

Research paper thumbnail of Decomposition Formulas for Second-Order Quadruple Gaussian Hypergeometric Series by Means of Operators H (α,β) and H (α,β)

Research paper thumbnail of Generalized hypergeometric function and its applications to solving the equation of a beam with variable height by the Kelvin-Voight model

Nucleation and Atmospheric Aerosols, 2023

Research paper thumbnail of Solutions to a System of Hypergeometric Type Differential Equations in Partial Derivatives of the Third Order and Its Integral Representations - Решения Системы Дифференциальных Уравнений Гипергеометрического Типа В Частных Производных Третьего Порядка И Его Интегральные Представления

Zenodo (CERN European Organization for Nuclear Research), Jan 31, 2022

Research paper thumbnail of Formula for analytic continuation of the Kampe de Feriet hypergeometric function

Итоги науки и техники. Серия, Современные проблемы математики, фундаментальные направления, 2022

Research paper thumbnail of The Fundamental Solution for One Class of Degenerate Elliptic Equations

Research paper thumbnail of Decomposition formulas for some triple hypergeometric functions

Journal of Mathematical Analysis and Applications, Dec 1, 2006

Research paper thumbnail of Functional Relations Involving Saran's Hypergeometric Functions Feand F(3)

Sunsu mit eung-yongsuhak, Feb 28, 2012

Research paper thumbnail of Hypergeometric Expansions of Solutions of the Degenerating Model Parabolic Equations of the Third Order

Lobachevskii Journal of Mathematics, 2020

Research paper thumbnail of The solution of the Cauchy problem for generalizedEuler-Poisson-Darboux equation

International journal of applied mathematics and statistics, Feb 16, 2007

ABSTRACT

Research paper thumbnail of Decomposition formulas associated with the Lauricella multivariable hypergeometric functions

Computers & mathematics with applications, Apr 1, 2007

Research paper thumbnail of Some decomposition formulas associated with the Lauricella function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo>(...

Applied Mathematics Letters, Feb 1, 2006

Research paper thumbnail of Decomposition formulas for the double hypergeometric functions G1 and G2

Applied Mathematics and Computation, Apr 1, 2007

Research paper thumbnail of A solution of the Neumann–Dirichlet boundary value problem for generalized bi-axially symmetric Helmholtz equation

Complex Variables and Elliptic Equations, Apr 1, 2008

Research paper thumbnail of <b>Fundamental solutions of generalized bi-axially symmetric Helmholtz equation</b>

Complex Variables and Elliptic Equations, Aug 1, 2007

Research paper thumbnail of Some Decomposition Formulas Associated with the Saran Function Fe

Honam Mathematical Journal, Dec 25, 2010

Research paper thumbnail of Functional Relations Involving Srivastava's Hypergeometric Functions H B and F (3)

B. C. Carlson [Some extensions of Lardner's relations between and Bessel functions, SIAM J. M... more B. C. Carlson [Some extensions of Lardner's relations between and Bessel functions, SIAM J. Math. Anal. 1(2) (1970), 232-242] presented several useful relations between Bessel and generalized hypergeometric functions that generalize some earlier results. Here, by simply splitting Srivastava's hypergeometric function into eight parts, we show how some useful and generalized relations between Srivastava's hypergeometric functions and can be obtained. These main results are shown to be specialized to yield certain relations between functions , , , , and their products including different combinations with different values of parameters and signs of variables. We also consider some other interesting relations between the Humbert function and Kamp de Friet function, and between the product of exponential and Bessel functions with Kamp de Friet functions.

Research paper thumbnail of Задача Холмгрена для эллиптического уравнения с сингулярными коэффициентами

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, Nov 1, 2020

Research paper thumbnail of Some Properties of Horn Type Second Order Double Hypergeometric Series

DOAJ (DOAJ: Directory of Open Access Journals), Apr 1, 2018

Research paper thumbnail of A family of potentials for elliptic equations with one singular coefficient and their applications

Mathematical Methods in The Applied Sciences, Apr 12, 2020

Research paper thumbnail of Exact Solutions for a Partial System of Second-Order Hypergeometric Equations and Some Decomposition Formulas

Lobachevskii Journal of Mathematics, Nov 1, 2022

Research paper thumbnail of Decomposition Formulas for Second-Order Quadruple Gaussian Hypergeometric Series by Means of Operators H (α,β) and H (α,β)