Title of article :
Six-variable generalization of Ramanujanʹs reciprocity theorem and its variants
Author/Authors :
Ma، نويسنده , , X.R.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2009
Abstract :
By virtue of Shuklaʹs well-known bilateral ψ 8 8 summation formula and Watsonʹs transfor-mation formula, we extend the four-variable generalization of Ramanujanʹs reciprocity theorem due to Andrews to a six-variable one. Some novel variants of Ramanujanʹs reciprocity theorem and q-series identities are presented.
Keywords :
Reciprocity theorem , q-Series , Baileyיs ? 6 6 summation formula , Shuklaיs ? 8 8 summation formula , Searsי transformation formula , Watsonיs transformation formula
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications