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pro vyhledávání: '"Kalmykov, S."'
We prove a duality relation for generalized basic hypergeometric functions. It forms a $q$-extension of a recent result of the second and the third named authors and generalizes both a $q$-hypergeometric identity due to the third named author (jointl
Externí odkaz:
http://arxiv.org/abs/2009.14694
Publikováno v:
J. Phys.: Conf. Ser. 1596, 012060 (2020)
Photoionization by a femtosecond, terawatt laser pulse generates a plasma column in a neutral ambient gas. Velocity of electrons, pushed by the laser ponderomotive force along the column surface, couples to the the radial density gradient at the colu
Externí odkaz:
http://arxiv.org/abs/2002.06496
Publikováno v:
Journal of Applied Physics; 12/21/2023, Vol. 134 Issue 23, p1-10, 10p
Autor:
Kalmykov, S. I., Karp, D. B.
We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric function with respect simultaneous shift of all its parameters. For a particular case of Heine's basic hyper
Externí odkaz:
http://arxiv.org/abs/1808.05105
Photon engineering can be exploited to control the nonlinear evolution of the drive pulse in a laser-plasma accelerator (LPA), offering new avenues to tailor electron beam phase space on a femtosecond time scale. One promising option is to drive an L
Externí odkaz:
http://arxiv.org/abs/1712.08257
Autor:
Kalmykov, S. I., Karp, D. B.
Recently, Feng, Kuznetsov and Yang discovered a very general reduction formula for a sum of products of the generalized hypergeometric functions (J. Math. Anal. Appl. 443(2016), 116--122). The main goal of this note is to present a generalization of
Externí odkaz:
http://arxiv.org/abs/1710.07889
Autor:
Kalmykov, S. I., Karp, D. B.
The paper studies logarithmic convexity and concavity of power series with coefficients involving q-gamma functions or q-shifted factorials with respect to a parameter contained in their arguments. The principal motivating examples of such series are
Externí odkaz:
http://arxiv.org/abs/1702.03788
Autor:
Teterin, Yu. A., Ryzhkov, M. V., Putkov, A. E., Maslakov, K. I., Teterin, A. Yu., Ivanov, K. E., Kalmykov, S. N., Petrov, V. G.
Publikováno v:
Journal of Structural Chemistry; Sep2024, Vol. 65 Issue 9, p1794-1804, 11p
Autor:
Kalmykov, S. I., Karp, D. B.
The paper studies logarithmic convexity and concavity of the generalized hypergeometric function with respect to simultaneous shift of several parameters. We use integral representations and properties of Meijer's $G$ function to prove log-convexity.
Externí odkaz:
http://arxiv.org/abs/1611.06724
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