TY - JOUR
T1 - On some new contiguous relations for the Gauss hypergeometric function with applications
AU - Rakha, Medhat A.
AU - Rathie, Arjun K.
AU - Chopra, Purnima
PY - 2011/2
Y1 - 2011/2
N2 - Contiguous relations for hypergeometric series contain an enormous amount of hidden information. Applications of contiguous relations range from the evaluation of hypergeometric series to the derivation of summation and transformation formulas for such series. In this paper, a new set of contiguous function relations are established. Applications of such relations to hypergeometric summation formulas and the theory of Jacobi polynomials are presented.
AB - Contiguous relations for hypergeometric series contain an enormous amount of hidden information. Applications of contiguous relations range from the evaluation of hypergeometric series to the derivation of summation and transformation formulas for such series. In this paper, a new set of contiguous function relations are established. Applications of such relations to hypergeometric summation formulas and the theory of Jacobi polynomials are presented.
KW - Contiguous function relation
KW - F Hypergeometric function
KW - Gauss hypergeometric function
KW - Linear recurrence relation
UR - http://www.scopus.com/inward/record.url?scp=78951483081&partnerID=8YFLogxK
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U2 - 10.1016/j.camwa.2010.12.008
DO - 10.1016/j.camwa.2010.12.008
M3 - Article
AN - SCOPUS:78951483081
SN - 0898-1221
VL - 61
SP - 620
EP - 629
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 3
ER -