Zobrazeno 1 - 10
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pro vyhledávání: '"Sitnik, Sergei M."'
Autor:
Mehrez, Khaled, Sitnik, Sergei M.
Publikováno v:
Applied Mathematics and Computation. 347(2019) 578-589
In this paper we introduce the new class of generalized Volterra functions. We prove some integral representations for them via Fox-Wright H-functions and Meijer G-functions. From positivity conditions on the weight in these representations, we found
Externí odkaz:
http://arxiv.org/abs/1805.11540
Publikováno v:
Electronic Journal of Differential Equations (EJDE), Vol. 2018 (2018), No. 130, pp. 1-27
In the paper we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of transmutation operators by this method. Classical integral transforms are
Externí odkaz:
http://arxiv.org/abs/1805.06925
Autor:
Mehrez, Khaled, Sitnik, Sergei M.
Publikováno v:
Integral Transforms and Special Functions. 29:11 (2018) 875-892
In this paper we prove some monotonicity, log--convexity and log--concavity properties for the Volterra and incomplete Volterra functions. Moreover, as consequences of these results, we present some functional inequalities (like Tur\'an type inequali
Externí odkaz:
http://arxiv.org/abs/1805.01462
Autor:
Mehrez, Khaled, Sitnik, Sergei M.
In this paper, our aim is to show some mean value inequalities for the Fox-Wright functions, such as Tur\'an--type inequalities, Lazarevi\'c and Wilker--type inequalities. As applications we derive some new type inequalities for hypergeometric functi
Externí odkaz:
http://arxiv.org/abs/1708.06611
Autor:
Shishkina, Elina L., Sitnik, Sergei M.
In the paper we find solution representations in the compact integral form to the Cauchy problem for a general form of the Euler--Poisson--Darboux equation with Bessel operators via generalized translation and spherical mean operators for all values
Externí odkaz:
http://arxiv.org/abs/1707.04733
Akademický článek
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Autor:
Sitnik, Sergei M., Mehrez, Khaled
Publikováno v:
Analysis Mathematica. 2018, Volume 44, Issue 4, pp 521-541
In this paper some Tur\'an type inequalities for classical and generalized Mittag-Leffler functions are considered. The method is based on proving monotonicity for special ratio of sections for series of Mittag-Leffler functions. Some applications ar
Externí odkaz:
http://arxiv.org/abs/1603.08504
Autor:
Mehrez, Khaled, Sitnik, Sergei M.
Publikováno v:
Matematicki Vesnik, 68:3 (2016) 225-231
In this paper we prove monotonicity of some ratios of $q$--Kummer confluent hypergeometric and $q$--hypergeometric functions. The results are also closely connected with Tur\'an type inequalities. In order to obtain main results we apply methods deve
Externí odkaz:
http://arxiv.org/abs/1412.1634
Autor:
Mehrez, Khaled, Sitnik, Sergei M.
Publikováno v:
Siberian Electronic Mathematical Reports, 13 (2016) 260-268
In 1993 one of the authors formulated some conjectures on monotonicity of ratios for exponential series sections. They lead to more general conjecture on monotonicity of ratios of Kummer hypergeometric functions and was not proved from 1993. In this
Externí odkaz:
http://arxiv.org/abs/1410.6120
Autor:
Sitnik, Sergei M.1 (AUTHOR) sitnik@bsu.edu.ru, Karimov, Shakhobiddin T.2 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Feb2023, Vol. 11 Issue 4, p951. 9p.
