SOME GENERAL SERIES IDENTITIES AND SUMMATION THEOREMS FOR CLAUSEN'S HYPERGEOMETRIC FUNCTION WITH NEGATIVE INTEGER NUMERATOR AND DENOMINATOR PARAMETERS

Our main object in the present sequel to an earlier paper (see [27]) is first to prove a general series identity which involves a suitably bounded sequence of complex numbers. We then prove several new summation theorems for some truncated, terminating and non-terminating Clausen's hypergeometric series F-3(2) with argument 1 when one numerator parameter and one denominator parameter arc negative integers. Furthermore, by making use of these summation theorems, we obtain the Mellin transforms of the product of the exponential function and Goursat's non-terminating hypergeometric function F-2(2).