Search Results - hypergeometric functions in several variables

Singularities of hypergeometric functions in several variables by Passare, Mikael, Sadykov, Timur, Tsikh, August

“…This paper deals with singularities of nonconfluent hypergeometric functions in several complex variables…”
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A Class of Generalized Hypergeometric Functions in Several Variables by Yan, Zhimin

“…We study a class of generalized hypergeometric functions in several variables introduced by A. Korânyi…”
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Generalized hypergeometric functions with several variables by Matsubara-Heo, Saiei-Jaeyeong, Oshima, Toshio

“…We introduce a hypergeometric series with several variables, which generalizes Appell’s, Lauricella’s and Kempé de Fériet’s hypergeometric series, and study the system of differential equations that it satisfies…”
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On certain q-hypergeometric matrix functions of several variables and their matrix q-difference equations by Dwivedi, Ravi, Sahai, Vivek

“…We introduce q-Lauricella matrix functions of three and n-variables. The convergence of these matrix functions is examined for both and…”
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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…”
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Summation Formulas for the Confluent Hypergeometric Function $\Psi_2^{(2r)}$ of Several Variables by Ahmed Ali Atash

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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…”
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Singularities of Nonconfluent Hypergeometric Functions in Several Variables by Passare, Mikael, Sadykov, Timur, Tsikh, August

“…The paper deals with singularities of nonconfluent hypergeometric functions in several variables…”
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Some New Results for the Kampé de Fériet Function with an Application by Kim, Insuk, Paris, Richard B., Rathie, Arjun K.

“… The theory of generalized hypergeometric functions in several variables comes from the fact that the solutions of the partial differential equations appearing in a large number of applied problems…”
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On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation by Luo, Zhuangchu, Chen, Hua, Zhang, Changgui

“…This paper is devoted to the family {Gn} of hypergeometric series of any finite number of variables, the coefficients being the square of the multinomial coefficients (ℓ1+⋯+ℓn)!/(ℓ1!…ℓn!), where n∈Z⩾1…”
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A class of generalized hypergeometric functions in several variables by Yan, Zhimin

“…We study a class of generalized hypergeometric functions in several variables, $\sb{p}F\sbsp{q}{(d)}$, introduced by A. Koranyi. We prove that $\sb2 F\sbsp{1…”
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Fundamental Solutions of the Generalized Helmholtz Equation with Several Singular Coefficients and Confluent Hypergeometric Functions of Many Variables by Ergashev, T. G.

“… In the theory of hypergeometric functions, an increase in a number of variables will always be accompanied by a complication in the study of the function of several variables…”
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Formulas for Computing the Lauricella Function in the Case of Crowding of Variables by Bezrodnykh, S. I.

“…For the Lauricella function , which is a hypergeometric function of several complex variables , analytic continuation formulas are constructed that correspond to the intersection of an arbitrary…”
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Approximation for the Ratios of the Confluent Hypergeometric Function by the Branched Continued Fractions by Tamara Antonova, Roman Dmytryshyn, Roman Kurka

“…The paper deals with the problem of expansion of the ratios of the confluent hypergeometric function of N variables ΦD(N)(a, b¯ ;c; z…”
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An application of hypergeometric functions to a construction in several complex variables by Długosz, Renata, Liczberski, Piotr

“…The paper is devoted to the investigations of holomorphic functions on complete n -circular domains G of ℂ…”
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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…”
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On Voigt-Type Functions Extended by Neumann Function in Kernels and Their Bounding Inequalities by Parmar, Rakesh K., Pogány, Tibor K., Sabu, Uthara

“…) and the r positive integer of the initial extensions Vμ,ν(x,y),Wμ,ν(x,y). Several computable series expansions are obtained for the discussed Voigt-type functions in terms of Humbert confluent hypergeometric functions…”
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Generalized hypergeometric functions with several variables by Matsubara-Heo, Saiei-Jaeyeong, Oshima, Toshio

“…We introduce a hypergoemetirc series with two complex variables, which generalizes Appell's, Lauricella's and Kempé de…”
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Fractional Calculus Operators and the Mittag-Leffler Function

“… Inequalities involving fractional calculus operators containing the Mittag–Leffler function in their kernels are of particular interest…”
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CONFLUENT HYPERGEOMETRIC FUNCTIONS OF MANY VARIABLES AND THEIR APPLICATION TO THE FINDING OF FUNDAMENTAL SOLUTIONS OF THE GENERALIZED HELMHOLTZ EQUATION WITH SINGULAR COEFFICIENTS by URINOV, Ahmadzhon Kushakovich, ERGASHEV, Tuhtasin Gulamzhanovich

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