Yong-Sup Kim

ON AN EXTENSION FORMULAS FOR THE TRIPLE HYPERGEOMETRIC SERIES X 8 DUE TO EXTON

The aim of this article is to derive twenty five transformation formulas in the form of a single result for the triple hypergeometric series introduced earlier by Exton. The results are derived with the help of generalized Watson#s theorem obtained earlier by Lavoie et al. An interesting special cases are also pointed out.

ANOTHER METHOD FOR PADMANABHAM`S TRANSFORMATION FORMULA FOR EXTON`S TRIPLE HYPERGEOMETRIC SERIES X 8

The object of this note is to derive Padmanabhams transformation formula for Extons triple hypergeometric series by using a different method from that of Padmanabhams. An interesting special case is also pointed out.

THREE-TERM CONTIGUOUS FUNCTIONAL RELATIONS FOR BASIC HYPERGEOMETRIC SERIES 2 φ 1

The authors aim mainly at giving fifteen three-term contiguous relations for the basic hypergeometric series corresponding to Gausss contiguous relations for the hypergeometric series given in Rainville([6], p.71). They also apply them to obtain two summation formulas closely related to a known q-analogue of Kummers theorem.

NOTE ON SRIVASTAVA`S TRIFLE HYPERGEOMETRIC SERIES H A AND H C

The aim of this note is to consider some interesting reducible cases of introduced by Srivastava who actually noticed the existence of three additional complete triple hypergeometric functions of the second order in the course of an extensive investigation of Lauricellas fourteen hypergeometric functions of three variables.

ON q-ANALOG OF HUMMER'S THEOREM AND ITS CONTIGUOUS RESULTS

The aim of this paper is to derive the well-known q-analog of kummers theorem by using q-integral representation. In addition to this, two results closely related to the q-kummers theorem have also been obtained by the same method.

GENERALIZATIONS OF GAUSS`S SECOND SUMMATION THEOREM AND BAILEY`S FORMULA FOR THE SERIES 2 F 1 (1/2)

We aim mainly at presenting two generalizations of the well-known Gausss second summation theorem and Baileys formula for the series . An interesting transformation formula for is obtained by combining our two main results. Relevant connections of some special cases of our main results with those given here or elsewhere are also pointed out.