- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 On some formulas for the generalized Appell type functions Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 835-850 https://doi.org/10.4134/CKMS.c150229Published online October 31, 2017 Praveen Agarwal, Shilpi Jain, Mumtaz Ahmad Khan, Kottakkaran Sooppy Nisar Anand International College of Engineering, Poornima College of Engineering, Aligarh Muslim University, Prince Sattam bin Abdulaziz University 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 $_{4}F_{3}$ functions. Keywords : Appell's type functions, hypergeometric series, fractional calculus MSC numbers : Primary 42C05; Secondary 33C45 Downloads: Full-text PDF