4 papers
Generalized Addition Theorems for the Jacobi Elliptic Functions
Efe Gürel
In this paper, we generalize the classical addition theorems for the Jacobi elliptic functions, giving numerous implicit and explicit formulas. We first present determinant identit…
A Recipe For Obtaining Algebraic Addition Theorems Of The Weierstrass Elliptic Function
Efe Gürel, Efe Gürel
In this paper, we present a general method for obtaining addition theorems of the Weierstrass elliptic function in terms of given parameters. We obtain the classical addit…
Raabe's Formula For Gamma Function Via Riemann-Liouville Fractional Integrals And Generalized Glaisher Constants
Efe Gürel
In this paper, we prove Raabe-type integral formulas for gamma function via left and right sided Riemann-Liouville fractional integrals. As corollaries, we give the left and right…
A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation
Efe Gürel
In this paper, we give an analogue of Wilton's product formula for Dirichlet series that satisfy Hecke's functional equation. We apply our results to obtain identities for Hecke se…