On a Solution of a $q$-Difference Analogue of Laurieella's $D$-Type Hypergeometric Equation with $|q| = 1$

Michitomo Nishizawa

doi:10.2977/prims/1195144697

JournalsprimsVol. 34, No. 3pp. 277–290

On a Solution of a $q$ -Difference Analogue of Laurieella's $D$ -Type Hypergeometric Equation with $∣ q ∣ = 1$

Michitomo Nishizawa
Waseda University, Tokyo, Japan

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Abstract

By using the double sine function, an integral solution of a $q$ -difference analogue of Laurieella's $D$ -type hypergeometric equation is constructed in the case when $∣ q ∣ = 1$ . Furthermore, its contiguity operators are considered.

Cite this article

Michitomo Nishizawa, On a Solution of a $q$ -Difference Analogue of Laurieella's $D$ -Type Hypergeometric Equation with $∣ q ∣ = 1$ . Publ. Res. Inst. Math. Sci. 34 (1998), no. 3, pp. 277–290

DOI 10.2977/PRIMS/1195144697