Contiguous Function Relations for k-Hypergeometric Functions. (10th April 2014)

• Record Type: Journal Article
• Authors: Mubeen, Shahid; Rahman, Gauhar; Rehman, Abdur; Naz, Mammona
• Other Names: Han Y. S. Academic Editor.; Zhang S. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2014(2014)
• Publication Date: 2014-04-10
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.1155/2014/410801
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : In this research work, our aim is to determine the contiguous function relations for k -hypergeometric functions with one parameter corresponding to Gauss fifteen contiguous function relations for hypergeometric functions and also obtain contiguous function relations for two parameters. Throughout in this research paper, we find out the contiguous function relations for both the cases in terms of a new parameter k > 0 . Obviously if k → 1, then the contiguous function relations for k -hypergeometric functions are Gauss contiguous function relations.