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Ilya Anatolyevich Shilin

Observed names: I A Shilin, I. A . Shilin, I. A. Shilin, I.A. Shilin, Ilya Anatolevich Shilin, Ilya Anatolievih Shilin, Ilya Anatol’evich Shilin, Ilya Shilin, Shilin, I. A., Shilin, Ilya, И А Шилин, И. А. Шилин, Шилин Илья Анатольевич
ORCID: 0000-0002-0681-5775
Observed ORCID: 0000-0002-0681-5775
OpenAlex ID: A5005556589
Certain connections between the spherical and hyperbolic bases on the cone and formulas for related special functions
2013 · I.A. Shilin, Junesang Choi · Integral Transforms and Special Functions · 9
Double SO(2, 1)-integrals and formulas for Whittaker functions
2012 · I. A. Shilin · Russian Mathematics · 7
Certain relations between Bessel and Whittaker functions related to some diagonal and block-diagonal 3\times3-matrices
2017 · I. A. Shilin, Junesang Choi · The Journal of Nonlinear Sciences and Applications · 6
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Some Formulas for Legendre Functions Induced by the Poisson Transform
2011 · I. A. Shilin, A. I. Nizhnikov · Acta Polytechnica · 6
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Some Formulas for Ordinary and Hyper Bessel–Clifford Functions Related to the Proper Lorentz Group
2021 · I. A. Shilin, J. Choi · Journal of Mathematical Sciences · 5
Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
2020 · I. A. Shilin, Junesang Choi, et al. · AIMS Mathematics · 5
On a generalization of l'Hopital's rule for multivariable functions
2014 · Ivlev, V. V., Shilin, I. A. · arXiv (Cornell University) · 5
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On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms
2023 · I. A. Shilin, Junesang Choi · Integral Transforms and Special Functions · 4
Method of Continual Addition Theorems and Integral Relations between the Coulomb Functions and the Appell Function F1
2022 · I. A. Shilin, J. Choi · Computational Mathematics and Mathematical Physics · 4
On matrix elements of the SO(2,2)-representation in a space of functions on 2×4-matrices
2018 · I. A. Shilin, J. Choi · Integral Transforms and Special Functions · 4
Some formulas for Legendre functions related to the Poisson transform and Lorentz group representation
2012 · I A Shilin, A I Nizhnikov · Journal of Physics Conference Series · 4
Some formulas for Bessel functions related to diag(1, −1, −1)-matrices and an intertwining operator
2024 · I. A. Shilin, Junesang Choi · Integral Transforms and Special Functions · 3
Lie algebras and special functions related to the isotropic cone
2023 · Ilya Shilin, Junesang Choi · Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» · 3
Maximal subalgebras in $${{\mathfrak {s}}}{{\mathfrak {o}}}(2,1)$$, addition theorems and Bessel–Clifford functions
2022 · I. A. Shilin, J. Choi · The Journal of Analysis · 3
On one sum of Hankel-Clifford integral transforms of Whittaker functions
2019 · Choi Junesang, Alexander Ivanovich Nizhnikov, et al. · Чебышевский сборник · 3
Integral and series representations of special functions related to the group SO(2, 2)
2016 · I. A. Shilin, Junesang Choi · The Ramanujan Journal · 3
Some Connections between the Spherical and Parabolic Bases on the Cone Expressed in terms of the Macdonald Function
2014 · I. A. Shilin, Junesang Choi · Abstract and Applied Analysis · 3
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On Some Formulas for Single and Double Integral Transforms Related to the Group SO(2, 2)
2024 · I. A. Shilin, Junesang Choi · Symmetry · 2
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On Changing Between Bases of the Space of Representations of Group SO(2,2)
2021 · J. Choi, I. A. Shilin · Computational Mathematics and Mathematical Physics · 2
A Family of Series and Integrals Involving Whittaker, Bessel Functions, and Their Products Derivable From the Representation of the Group So(2, 1)
2017 · Junesang Choi, I. A. Shilin · Communications of the Korean Mathematical Society · 2
SO(2;1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions
2012 · I. A. Shilin · Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics) · 2
Some special functions related to unimodular pseudo-orthogonal groups
2011 · Alexander Nizhnikov, Ilya Shilin · Banach Center Publications · 2
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Concerning Transformations of Bases Associated with Unimodular diag(1, −1, −1)-Matrices
2024 · I. A. Shilin, Junesang Choi · Axioms · 1
On some integral transforms of Coulomb functions related to three-dimensional proper Lorentz group
2019 · Shilin, Ilya · arXiv (Cornell University) · 1
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Improper integrals associated with the Bessel functions and their multi-index analogues
2016 · I. A. Shilin, Junesang Choi · Applied Mathematical Sciences · 1
Works count: 47
Citation count: 93
H-index: 5
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