On some properties of generalized Struve function

Year 2020, Volume: 69 Issue: 1, 347 - 353, 30.06.2020

İbrahim Aktaş , Halit Orhan , Dorina Raducanu

https://doi.org/10.31801/cfsuasmas.595570

Abstract

The main purpose of this investigation is to present some monotonic and log-concavity properties of the generalized Struve function. By using Hadamard product representation of the generalized Struve function, we investigate the sign of this function on some sets. Also, we determine an interval such that the generalized Struve function is decreasing in this interval. Moreover, we show that generalized Struve function is strictly logaritmically concave on some intervals. In addition, we prove that a function related to generalized Struve function is increasing function on R.

Keywords

Gamma function , generalized Struve function , log-concavity , monotonicity

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