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Tica, Christian D., Galapon, Eric A. (2019) Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. II. Non-integer orders. Journal of Mathematical Physics, 60. 13502pp. doi:10.1063/1.5038900

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Reference TypeJournal (article/letter/editorial)
TitleFinite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. II. Non-integer orders
JournalJournal of Mathematical Physics
AuthorsTica, Christian D.Author
Galapon, Eric A.Author
Year2019 (January)Volume60
PublisherAIP Publishing
DOIdoi:10.1063/1.5038900Search in ResearchGate
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Mindat Ref. ID5772083Long-form Identifiermindat:1:5:5772083:8
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Full ReferenceTica, Christian D., Galapon, Eric A. (2019) Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. II. Non-integer orders. Journal of Mathematical Physics, 60. 13502pp. doi:10.1063/1.5038900
Plain TextTica, Christian D., Galapon, Eric A. (2019) Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. II. Non-integer orders. Journal of Mathematical Physics, 60. 13502pp. doi:10.1063/1.5038900
In(n.d.) Journal of Mathematical Physics Vol. 60. AIP Publishing

See Also

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Tica, Christian D., Galapon, Eric A. (2018) Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. I. Integer orders. Journal of Mathematical Physics, 59. 23509pp. doi:10.1063/1.5003479
Tica, Christian D., Galapon, Eric A. (2023) Continuation of the Stieltjes series to the large regime by finite-part integration. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 479 (2276) The Royal Society. doi:10.1098/rspa.2023.0098
Villanueva, Lloyd L., Galapon, Eric A. (2021) Finite-part integration in the presence of competing singularities: Transformation equations for the hypergeometric functions arising from finite-part integration. Journal of Mathematical Physics, 62 (4) 43505pp. doi:10.1063/5.0038274
Galapon, Eric A. (2016) The Cauchy principal value and the Hadamard finite part integral as values of absolutely convergent integrals. Journal of Mathematical Physics, 57. 33502pp. doi:10.1063/1.4943300
Schwarz, John H. (2005) The generalized Stieltjes transform and its inverse. Journal of Mathematical Physics, 46. 13501pp. doi:10.1063/1.1825077
Galapon, Eric A. (2017) Erratum: “The Cauchy principal value and the Hadamard finite part integral as values of absolutely convergent integrals” [J. Math. Phys. 57, 033502 (2016)]. Journal of Mathematical Physics, 58. 19901pp. doi:10.1063/1.4962985
Domingo, Herbert B., Galapon, Eric A. (2015) Generalized Weyl transform for operator ordering: Polynomial functions in phase space. Journal of Mathematical Physics, 56. 22104pp. doi:10.1063/1.4907561
Tica, Christian D., Blancas, Philip Jordan D., Galapon, Eric A. (2025) Exact evaluation and resummation of the divergent expansion for the Heisenberg–Euler Lagrangian. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 481 (2310). doi:10.1098/rspa.2024.0843
Woolcock, W. S. (1968) Asymptotic Behavior of Stieltjes Transforms. II. Journal of Mathematical Physics, 9. 1350-1356 doi:10.1063/1.1664721
Asano, Naruyoshi, Kato, Yusuke (1984) Non‐self‐adjoint Zakharov–Shabat operator with a potential of the finite asymptotic values. II. Inverse problem. Journal of Mathematical Physics, 25. 570-588 doi:10.1063/1.526181
Zimering, Shimshon (1969) Some Asymptotic Behavior of Stieltjes Transforms. Journal of Mathematical Physics, 10. 181-183 doi:10.1063/1.1664750
 
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