New generalizations of Zeta-Function and Tricomi function

TL;DR

This paper introduces new generalizations of the zeta and Tricomi functions, exploring their properties to enhance their application in special functions theory and various scientific fields.

Contribution

It presents novel generalizations of the zeta and Tricomi functions and studies their main properties, expanding their potential applications.

Findings

New generalized forms of zeta and Tricomi functions introduced

Main properties of these generalized functions analyzed

Potential applications in science and mathematics discussed

Abstract

In this paper we introduce new generalizations of the zeta function, the Tricomi functions; their main properties are studied. This opens the way to a deeper, better application of these functions both in the theory of special functions, and in many applied sciences.