Publicación: MELLIN-BARNES INTEGRALS AND THE METHOD OF BRACKETS
Fecha
2022
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EUROPEAN PHYSICAL JOURNAL C
Resumen
THE METHOD OF BRACKETS IS A METHOD FOR THE EVALUATION OF DEFINITE INTEGRALS BASED ON A SMALL NUMBER OF RULES. THIS IS EMPLOYED HERE FOR THE EVALUATION OF MELLIN?BARNES INTEGRAL. THE FUNDAMENTAL IDEA IS TO TRANSFORM THESE INTEGRAL REPRESENTATIONS INTO A BRACKET SERIES TO OBTAIN THEIR VALUES. THE EXPANSION OF THE GAMMA FUNCTION IN SUCH A SERIES CONSTITUTE THE MAIN PART OF THIS NEW APPLICATION. THE POWER AND FLEXIBILITY OF THIS PROCEDURE IS ILLUSTRATED WITH A VARIETY OF EXAMPLES.
