On some properties of generalized Struve function

İbrahim Aktaş,Dorina Raducanu,Halit Orhan

doi: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.

Highlights

Introduction and PreliminariesIn the last three decades many geometric and monotonic properties of some special functions like Bessel, Struve, Lommel, Mittag-Le- er, Wright functions and their generalizations were investigated by many authors
By using Hadamard product representation of the generalized Struve function, we investigate the sign of this function on some sets
It is known that the logarithmic concavity and logarithmic convexity properties have an important role in economics

Summary

Introduction

Introduction and PreliminariesIn the last three decades many geometric and monotonic properties of some special functions like Bessel, Struve, Lommel, Mittag-Le- er, Wright functions and their generalizations were investigated by many authors. 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.

Results

Conclusion