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Volumn 29, Issue 1-3, 2012, Pages 103-120

Ramanujan's Master Theorem

Author keywords

Analytic continuation; Hypergeometric functions; Integrals; Method of brackets; Random walk integrals; Series representation

Indexed keywords


EID: 84869138634     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11139-011-9333-y     Document Type: Article
Times cited : (93)

References (16)
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    • A formula for a quartic integral: a survey of old proofs and some new ones
    • Amdeberhan, T., Moll, V.: A formula for a quartic integral: a survey of old proofs and some new ones. Ramanujan J. 18, 91-102 (2009).
    • (2009) Ramanujan J. , vol.18 , pp. 91-102
    • Amdeberhan, T.1    Moll, V.2
  • 3
    • 0035338061 scopus 로고    scopus 로고
    • The double square root, Jacobi polynomials and Ramanujan's master theorem
    • Boros, G., Moll, V.: The double square root, Jacobi polynomials and Ramanujan's master theorem. J. Comput. Appl. Math. 130, 337-344 (2001).
    • (2001) J. Comput. Appl. Math. , vol.130 , pp. 337-344
    • Boros, G.1    Moll, V.2
  • 4
    • 0242360764 scopus 로고    scopus 로고
    • On some families of integrals solvable in terms of polygamma and negapolygamma functions
    • Boros, G., Espinosa, O., Moll, V.: On some families of integrals solvable in terms of polygamma and negapolygamma functions. Integral Transforms Spec. Funct. 14, 187-203 (2003).
    • (2003) Integral Transforms Spec. Funct. , vol.14 , pp. 187-203
    • Boros, G.1    Espinosa, O.2    Moll, V.3
  • 9
    • 84869135825 scopus 로고
    • Letter to the editors: On a new formula in definite integrals
    • Glaisher, J. W. L.: Letter to the editors: On a new formula in definite integrals. Philos. Mag. 48(319), 400 (1874).
    • (1874) Philos. Mag. , vol.48 , Issue.319 , pp. 400
    • Glaisher, J.W.L.1
  • 10
    • 84869135826 scopus 로고
    • A new formula in definite integrals
    • Glaisher, J. W. L.: A new formula in definite integrals. Philos. Mag. 48(315), 53-55 (1874).
    • (1874) Philos. Mag. , vol.48 , Issue.315 , pp. 53-55
    • Glaisher, J.W.L.1
  • 11
    • 77950370314 scopus 로고    scopus 로고
    • Definite integrals by the method of brackets. Part 1
    • doi:10.1016/j.aam.2009.11.003
    • Gonzalez, I., Moll, V.: Definite integrals by the method of brackets. Part 1. Adv. Appl. Math. (2009). doi: 10. 1016/j. aam. 2009. 11. 003.
    • (2009) Adv. Appl. Math.
    • Gonzalez, I.1    Moll, V.2
  • 12
    • 33947527764 scopus 로고    scopus 로고
    • Optimized negative dimensional integration method (NDIM) and multiloop Feynman diagram calculation
    • Gonzalez, I., Schmidt, I.: Optimized negative dimensional integration method (NDIM) and multiloop Feynman diagram calculation. Nucl. Phys. B 769, 124-173 (2007).
    • (2007) Nucl. Phys. B , vol.769 , pp. 124-173
    • Gonzalez, I.1    Schmidt, I.2
  • 15
    • 84869101330 scopus 로고
    • On a new formula in definite integrals
    • O'Kinealy, J.: On a new formula in definite integrals. Philos. Mag. 48(318), 295-296 (1874).
    • (1874) Philos. Mag. , vol.48 , Issue.318 , pp. 295-296
    • O'Kinealy, J.1
  • 16
    • 85043835227 scopus 로고
    • The random walk
    • Pearson, K.: The random walk. Nature 72, 294 (1905).
    • (1905) Nature , vol.72 , pp. 294
    • Pearson, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.