Addition theorem on G-function of two variables
R. U. Verma (1970)
Matematički Vesnik
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R. U. Verma (1970)
Matematički Vesnik
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Abdur Rehman, Shahid Mubeen, Rabia Safdar, Naeem Sadiq (2015)
Open Mathematics
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In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension of k-beta function of two variables, recently defined by Diaz and Pariguan [4]. Also, we extend the formula Γk(2z) proved by Kokologiannaki [5] via properties of k-beta function.
B. L. Sharma (1968)
Matematički Vesnik
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Satya Narain Srivastava (1968)
Annales Polonici Mathematici
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C. M. Joshi, N. L. Joshi (1997)
Annales Polonici Mathematici
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Certain results including the successive derivatives of the H-function of one and more variables are established. These remove the limitations of Ławrynowicz's (1969) formulas and as a result extend the results of Skibiński [13] and various other authors. As an application some finite expansion formulas are also established, which reduce to hypergeometric functions of one and more variables that are of common interest.
Nadarajah, Saralees, Gupta, Arjun K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Władysław Wilczyński (1971)
Colloquium Mathematicae
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Nadarajah, Saralees (2005)
Journal of Applied Mathematics
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Zhu, Meng-Hu (2007)
Discrete Dynamics in Nature and Society
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Taylor, R.L., Patterson, R.F., Bozorgnia, A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Sung, Soo Hak (2009)
Journal of Inequalities and Applications [electronic only]
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Slobodanka Janković (1987)
Publications de l'Institut Mathématique
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