Some exponential and trigonometric integrals involving the log gamma function
Donal F. Connon
TL;DR
This paper investigates specific integrals involving the log gamma and digamma functions combined with exponential and trigonometric functions, providing new analytical results for these complex integrals.
Contribution
It introduces new integral formulas involving the log gamma and digamma functions with exponential and trigonometric factors, expanding the analytical understanding of these functions.
Findings
Derived new integral formulas involving log gamma and digamma functions.
Provided analytical solutions for integrals with exponential and trigonometric factors.
Enhanced mathematical tools for special functions analysis.
Abstract
This paper considers some integrals where the integrand comprises the log gamma function or the digamma function multiplied by exponential or trigonometric functions.
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Taxonomy
TopicsMathematical functions and polynomials · Mathematical Inequalities and Applications · Advanced Mathematical Identities