Results 11 to 20 of about 11,866,753 (228)
Axioms, 2021 A class of definite integrals involving a quotient function with a reducible polynomial, logarithm and nested logarithm functions are derived with a possible connection to contact problems for a wedge.
Robert Reynolds, Allan Stauffer
doaj +2 more sources
Mathematical and Computational Applications, 2021 This paper gives new integrals related to a class of special functions. This paper also showcases the derivation of definite integrals involving the quotient of functions with powers and the exponential function expressed in terms of the Lerch function ...
Robert Reynolds, Allan Stauffer
doaj +2 more sources
Inequalities for Lerch transcendent function
Tamkang Journal of Mathematics, 2023 Some fundamental inequalities for Lerch transcendent function with positive terms by utilising certain classical results due to Hölder, Čebyšev, Grüss and others, are established. Some particular cases of interest for Polylogarithm function, Hurwitz zeta function and Legendre chi function are also given.
Cerone, Pietro +1 more
openaire +3 more sources
Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function
MathematicsThe findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali +3 more
doaj +2 more sources
Fractional Calculus of the Lerch Zeta Function
Mediterranean Journal of Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. Guariglia
openaire +4 more sources
Double Integral of Logarithm and Exponential Function Expressed in terms of the Lerch Function [PDF]
European Journal of Pure and Applied Mathematics, 2021 This paper contains new explicit computations of some integrals containing elementary functions, such as powers, logarithms, exponentials. In this work the authors use their contour integral method to derive a double integral connected to the modified ...
Robert Reynolds, Allan Stauffer
semanticscholar +1 more source
Approximation of analytic functions by generalized shifts of the Lerch zeta-function
Mathematical Modelling and AnalysisIn the paper, we approximate analytic functions by generalized shifts of the Lerch zeta-function, where g is a certain increasing to real function having a monotonic derivative. We prove that, for arbitrary parameters λ and α, there exists a closed set
Aidas Balčiūnas +2 more
doaj +2 more sources
A Note on the Infinite Sum of the Lerch function
European Journal of Pure and Applied Mathematics, 2022 We derive the infinite sum of the Lerch function in terms of the incomplete gamma function and the Lerch function. Special cases are evaluated in terms of fundamentals constants. All the results in this work are new.
Robert Reynolds, Allan Stauffer
semanticscholar +1 more source
A Quadruple Definite Integral Expressed in Terms of the Lerch Function
Symmetry, 2021 A quadruple integral involving the logarithmic, exponential and polynomial functions is derived in terms of the Lerch function. Special cases of this integral are evaluated in terms of special functions and fundamental constants.
Robert Reynolds, Allan Stauffer
semanticscholar +1 more source
Axioms, 2021 In this paper, we have derived and evaluated a quadruple integral whose kernel involves the logarithm and product of Bessel functions of the first kind. A new quadruple integral representation of Catalan’s G and Apéry’s ζ(3) constants are produced.
Robert Reynolds, Allan Stauffer
semanticscholar +1 more source