Degenerate Hurwitz-Zeta function and properties

This thesis comprised of four chapters. The first chapter includes basic definitions and theorems that will be used in the thesis. In the second chapter two types degenerate states of Gamma function, Digamma function and Euler polynomials and their properties have been studied. In the third chapter, the two types of degenerated states of the Bernoulli polynomials and Hurwitz-Zeta function were defined and the relationships between them were obtained. Finally, some recurrence relations of the degenerate Digamma function was obtained. In the last chapter, contains conclusions and recommendations.