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http://dx.doi.org/10.4134/CKMS.c150229

ON SOME FORMULAS FOR THE GENERALIZED APPELL TYPE FUNCTIONS  

Agarwal, Praveen (Praveen Agarwal Department of Mathematics Anand International College of Engineering)
Jain, Shilpi (Department of Mathematics Poornima College of Engineering)
Khan, Mumtaz Ahmad (Department of Applied Mathematics Aligarh Muslim University)
Nisar, Kottakkaran Sooppy (Department of Mathematics College of Arts and Science Prince Sattam bin Abdulaziz University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.4, 2017 , pp. 835-850 More about this Journal
Abstract
A remarkably large number of special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) have been investigated by many authors. Motivated the works of both works of both Burchnall and Chaundy and Chaundy and very recently, Brychkov and Saad gave interesting generalizations of Appell type functions. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present some new differential formulas for the generalized Appell's type functions ${\kappa}_i$, $i=1,2,{\ldots},18$ by considering the product of two $_4F_3$ functions.
Keywords
Appell's type functions; hypergeometric series; fractional calculus;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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