Integrals of Frullani type and the method of brackets

• Autorzy: Sergio Bravo , Ivan Gonzalez , Karen Kohl , Victor H. Moll
• Języki publikacji: EN

Abstrakty

EN

The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals. The present work uses this method to establish classical formulas due to Frullani which provide values of a specific family of integrals. Some generalizations are established.

Słowa kluczowe

EN

Definite integrals; Frullani integrals; Method of brackets

Kategorie tematyczne

• 81T18: Feynman diagrams
• 33C67: Hypergeometric functions associated with root systems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1-12

Daty

wydano

2017-01-01

otrzymano

2016-09-13

zaakceptowano

2016-12-27

online

2017-01-21

Twórcy

autor

Sergio Bravo

• Departmento de Fisica, Universidad Tecnica Federico Santa Maria, Valparaiso,

autor

Ivan Gonzalez

• Departmento de Fisica y Astronomia, Universidad de Valparaiso, Avda. Gran Bretan a 1111, Valparaiso,

autor

Karen Kohl

• Department of Mathematics, University of Southern Mississippi, Long Beach, MS 39560,

autor

Victor H. Moll

• Department of Mathematics, Tulane University, New Orleans, LA 70118,

Identyfikatory

DOI

10.1515/math-2017-0001