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Zeros of Ramanujan Type Entire Functions

Published 12 Mar 2016 in math.CA | (1603.04694v2)

Abstract: In this work we establish some polynomials and entire functions have only real zeros. These polynomials generalize q-Laguerre polynomials $L_{n}{(\alpha)}(x;q)$, while the entire functions are generalizations of Ramanujan's entire function $A_{q}(z)$, q-Bessel functions $J_{\nu}{(2)}(z;q)$, $J_{\nu}{(3)}(z;q)$ and confluent basic hypergeometric series.

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