Closed forms for 4-parameter families of integrals

Abstract

We compute closed forms for two multiparameter families of definite integrals, thus obtaining combinatorial formulas. As a consequence, a surprising formula is derived between a definite integral and an improper integral for the same parametric function.

Keywords:

• integrals
• parameters
• recurrence
• closed form

Acknowledgement

The authors wish to thank the referees for fruitful remarks.