2012
DOI: 10.1016/j.amc.2012.09.029
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Abstract: An operational method, already employed to formulate a generalization of the Ramanujan master theorem, is applied to the evaluation of integrals of various types. This technique provides a very flexible and powerful tool yielding new results encompassing different aspects of the special function theory.

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Cited by 6 publications
(6 citation statements)
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References 13 publications
(12 reference statements)
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“…This is indeed the case of the Ramanujan master theorem [20,21]. An operational method, already employed to formulate a generalization of the Ramanujan master theorem, is applied for the evaluation of certain integrals by Babusci et al [22].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…This is indeed the case of the Ramanujan master theorem [20,21]. An operational method, already employed to formulate a generalization of the Ramanujan master theorem, is applied for the evaluation of certain integrals by Babusci et al [22].…”
Section: Discussionmentioning
confidence: 99%
“…The technique adopted in [22] provides a very flexible and powerful tool yielding new results encompassing different aspects of the theory of special functions. The possibility of using the method outlined in [22], for the integrals evaluated in this article, is a further research problem.…”
Section: Discussionmentioning
confidence: 99%
“…Though the results obtained in earlier sections have intensive computation and shrewd manipulation, the benefit of consideration of such general framework are that through the judicious choice of parameter p,ˇand˛, they generate several interesting application, which include extending the result of previous work. In this context it is worth comparing the result obtained in Section 2 with results derived in [4]- [9]. The appropriate choice of the parameters p,ˇand˛yields the following consequences.…”
Section: Concluding Remarkmentioning
confidence: 99%
“…This identity has been proved rigorously in [1,2]. A simpler, albeit heuristic, proof can be achieved by exploiting umbral method [18] can be found in [4,9]. By setting…”
Section: Ramanujan Master Theorem and Its Implicationmentioning
confidence: 99%
“…The methods we are going to describe in the paper complete previous researches summarized in 4,5 , where it was shown that the use of operational techniques allowed us the derivation of sum rules hardly achievable with conventional means.…”
Section: Introductionmentioning
confidence: 99%