Search Results - multiple hypergeometric functions of several variables

Hypergeometric Functions of Several Variables and Evaluation of Error Probability in Fading Multichannel System by Brychkov, Yu. A., Savischenko, N. V.

“…) fading and of additive white Gaussian noise (AWGN). This method uses the hypergeometric functions of several variables…”
Get full text

Application of Hypergeometric Functions of Several Variables in the Mathematical Theory of Communication: Evaluation of Error Probability in Fading Singlechannel System by Brychkov, Yu. A., Savischenko, N. V.

“…). This method uses the hypergeometric functions of several variables…”
Get full text

Some decomposition formulas associated with the Lauricella function F A ( r ) and other multiple hypergeometric functions by Hasanov, Anvar, Srivastava, H.M.

“… with Lauricella’s hypergeometric function F A ( r ) in r variables ( r = 2 , 3 , 4 , … ) and also with other multiple hypergeometric functions…”
Get full text

Convergence regions for multiple hypergeometric inegrals representing h-function in several variables by Hai, Nguyen Thanh

“…Convergence regions for multiple Mellin-Barnes contour integrals represening hypergeometric H-functions in several variables is described…”
Get full text

New class of generating functions associated with generalized hypergeometric polynomials by Pathan, M.A., Khan, N.U., Qureshi, M.I.

“… generalized hypergeometric polynomials and multiple hypergeometric series of several variables…”
Get full text

On the analytic extension of three ratios of Horn's confluent hypergeometric function $\mathrm{H}_7 by Hladun, V., Rusyn, R., Dmytryshyn, M.

“…In this paper, we consider the extension of the analytic functions of two variables by special families of functions…”
Get full text

Gottlieb Polynomials and Their q-Extensions by ErkuŞ-Duman, Esra, Choi, Junesang

“… In this paper, we aimed to investigate the q-extensions of these polynomials to provide certain q-generating functions for three sequences associated with a finite power series whose coefficients…”
Get full text

A Problem with Mixed Boundary Conditions for a Singular Elliptic Equation in an Infinite Domain by Ergashev, T. G., Tulakova, Z. R.

“… To prove the existence of a unique solution to the problem, we use the representation of the multiple Lauricella hypergeometric function at limiting values of the variables and a new representation…”
Get full text

Multiple zeta values for classical special functions by Wakhare, Tanay, Vignat, Christophe

“…We compute multiple zeta values (MZVs) built from the zeros of various entire functions, usually special functions with physical relevance…”
Get full text

A multiple q-exponential differential operational identity by Liu, Zhiguo

“…Using Hartogs’ fundamental theorem for analytic functions in several complex variables and q -partial differential equations, we establish a multiple q -exponential differential formula for analytic functions in several variables…”
Get full text

Decomposition formulas for some triple hypergeometric functions by Hasanov, Anvar, Srivastava, H.M., Turaev, Mamasali

“…With the help of some techniques based upon certain inverse pairs of symbolic operators, the authors investigate several decomposition formulas associated with Srivastava's hypergeometric functions H…”
Get full text

Decomposition formulas associated with the Lauricella multivariable hypergeometric functions by Hasanov, Anvar, Srivastava, H.M.

“… with Lauricella’s hypergeometric functions F B ( r ) , F C ( r ) , and F D ( r ) in r variables. In the three-variable case when r…”
Get full text

Relations between Lauricella’s triple hypergeometric function F A ( 3 ) ( x , y , z ) and Exton’s function X 8 by Choi, Junesang, Rathie, Arjun K

Get full text

Multiple integral representations for some families of hypergeometric and other polynomials by Liu, Shuoh-Jung, Chyan, Chuan-Jen, Lu, Han-Chun, Srivastava, H.M.

“…The main objective of this paper is to investigate several general families of hypergeometric and other polynomials and their associated multiple integral representations…”
Get full text

Decomposition formulas for Srivastava’s hypergeometric function H A on Saran functions by Turaev, Mamasali

“… with Srivastava’s hypergeometric function H A in three variables. The operator identities involving these pairs of symbolic operators are first constructed for this purpose…”
Get full text

Reduction formulae for the Lauricella functions in several variables by Choi, Junesang, Rathie, Arjun K

“…The main objective of this paper is to show how one can obtain several interesting reduction formulae for Lauricella functions from a multiple hypergeometric series identity established earlier by Jaimini et al…”
Get full text

Asymptotic representations for a class of multiple hypergeometric functions with a dominant variable by Silva, J. Carvalho E, Srivastava, H.M.

“…Motivated essentially by several recent studies of the Goursat-Darboux problems for third-order partial differential equations, asymptotic representations are obtained here for some multiple hypergeometric functions…”
Get full text

Some families of hypergeometric polynomials and associated multiple integral representations by Lin, Shy-Der, Liu, Shuoh-Jung, Srivastava, H. M.

“…The main object of this paper is to investigate several general families of hypergeometric polynomials and their associated multiple integral representations…”
Get full text

Relations between Lauricella’s triple hypergeometric function FA(3)(x,y,z) and Exton’s function X8 by Choi, Junesang, Rathie, Arjun K

“…Very recently Choi et al. derived some interesting relations between Lauricella’s triple hypergeometric function F A ( 3 ) ( x , y , z…”
Get full text

A U(n+1) WP-Bailey lattice and its applications by Zhang, Zhizheng, Huang, Junli

“… ) transformation formula for U ( n + 1 ) WP-Bailey pairs. By considering the U ( n + 1 ) unit WP-Bailey pair, several new U ( n + 1…”
Get full text