Výsledky vyhledávání - Other hypergeometric functions and integrals in several variables*

On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation Autor Luo, Zhuangchu, Chen, Hua, Zhang, Changgui

“… All these series belong to the family of the general Appell–Lauricellaʼs series. It is shown that each function Gn can be expressed by an integral involving the previous one, Gn−1…”
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Integral transformations of hypergeometric functions with several variables Autor Oshima, Toshio

“… functions with several variables…”
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Two New Degenerate Hypergeometric Functions of Several Variables and Integral Equations Containing These Functions Autor Khudozhnikov, V. I.

“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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A multiple q-exponential differential operational identity Autor 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…”
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On Jacobi Polynomials Of Several Variables Autor Shrivastava, H.S.P.

“… Their integral representations, generating functions are obtained. Sokme relationships are established and finally Ultraspherical polynomials, Gegenbauer polynomials…”
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Dirichlet Averages of Generalized Mittag-Leffler Type Function Autor Kumar, Dinesh, Ram, Jeta, Choi, Junesang

“…Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the…”
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On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation Autor Luo, Zhuangchu, Chen, Hua, Zhang, Changgui

“… It is shown that each function \(G_n\) can be expressed by an integral involving the previous one, \(G_{n-1…”
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Further extension of the generalized Hurwitz-Lerch Zeta function of two variables Autor Nisar, Kottakkaran Sooppy

“… variables.Also, we investigate several interesting properties such as integral representations, summation formula and a connection with generalized hypergeometric function…”
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An integral equation involving the confluent hypergeometric function of several complex variables Autor Srivastava, H. M.

“…In the present note the author establishes an inversion theorem for a convolution transform whose kernel involves a confluent hypergeometric function of several complex variables…”
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Convergence regions for multiple hypergeometric inegrals representing h-function in several variables Autor Hai, Nguyen Thanh

“…Convergence regions for multiple Mellin-Barnes contour integrals represening hypergeometric H-functions in several variables is described…”
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Determinants of Period Matrices and an Application to Selberg's Multidimensional Beta Integral Autor Richards, Donald, Zheng, Qifu

“…) defined certain period matrices whose entries are Euler-type integrals representing hypergeometric functions of several variables and derived remarkable closed-form expressions for the determinants of those matrices…”
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On Gaussian Hypergeometric Functions of Three Variables: Some New Integral Representations Autor Bin-Saad, Maged G., Shahwan, Mohannad J. S., Younis, Jihad A., Aydi, Hassen, Abd El Salam, Mohamed A.

“…The present paper establishes several new integral representations of the Euler type and Laplace type for some Gauss hypergeometric functions of three variables…”
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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 Autor URINOV, Ahmadzhon Kushakovich, ERGASHEV, Tuhtasin Gulamzhanovich

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A New Generalization of Pochhammer Symbol and Its Applications Autor Şahin, Recep, Yağcı, Oğuz

“… . Using the generalization of Pochhammer symbol, we give a generalization of the extended hypergeo-metric functions one or several variables…”
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Regular Article: Determinants of Period Matrices and an Application to Selberg's Multidimensional Beta Integral Autor Richards, Donald, Zheng, Qifu

“…) defined certain period matrices whose entries are Euler-type integrals representing hypergeometric functions of several variables and derived remarkable closed-form expressions for the determinants of those matrices…”
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A note on the Lauricella matrix functions Autor Dwivedi, Ravi, Sahai, Vivek

“… variables and Srivastava's triple hypergeometric matrix functions of three variables. We also discuss the region of convergence and integral representation…”
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Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables Autor Sooppy Nisar, Kottakkaran

“… We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function…”
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Fractional integration of the H-function of several variables Autor Srivastava, H.M., Hussain, M.A.

“… (obtained in this paper) are shown to yield interesting new results for various families of generalized hypergeometric functions of several variables…”
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Evaluation of Certain Class of Eulerian Integrals of the Multivariable H-Function Autor Shrivastava, H.S.P.

“…the present paper we evaluate a number of key Eulerian integrals involving the H- function of several complex variables…”
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On the Connection between Generalized Hypergeometric Functions and Dilogarithms Autor Sanchis-Lozano, M A

“…Several integrals involving powers and ordinary hypergeometric functions are rederived by means of a generalized hypergeometric function of two variables (Appell's function…”
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