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Integration in the umbral calculus
Journal of Mathematical Analysis and Applications, 1980 AbstractThe adjointness between “multiplication” and “derivation” is a recurrent theme in Rota's umbral calculus. The subject of this paper is the companion adjointness between “division” and “integration.”
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A Characterization of Umbral Calculus Inspired by Fractional Sums [PDF]
, 2021 Qian Tang
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Some identities of q-Euler polynomials arising from q-umbral calculus [PDF]
, 2014 Dae San Kim, Taekyun Kim
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Korobov polynomials of the third kind and of the fourth kind. [PDF]
Springerplus, 2015 Kim T, Kim DS.
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The classical umbral calculus and the flow of a Drinfeld module [PDF]
, 2015 Nguyen Ngoc Dong Quan
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An explicit form of the polynomial part of a restricted partition function. [PDF]
Res Number Theory, 2017 Dilcher K, Vignat C.
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Operational method of solution of linear non-integer ordinary and partial differential equations. [PDF]
Springerplus, 2016 Zhukovsky KV.
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Superstatistics in nanoscale electrochemical systems. [PDF]
Proc Natl Acad Sci U S A, 2011 García-Morales V, Krischer K.
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The Euler Equations of Problems of the Calculus of Variations with Prescribed Transversality Conditions. [PDF]
Proc Natl Acad Sci U S A, 1931 La Paz L.
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