Edit Profile (opens in new tab) Sitnik, Sergei Mihailovich Co-Author Distance Author ID: sitnik.sergei-mihailovich Published as: Sitnik, S. M.; Sitnik, Sergei M.; Sitnik, Sergeĭ Mikhaĭlovich; Sitnik, Sergei Mihailovich; Sitnik, Sergei; Sitnik, Sergey more...less External Links: MGP · ORCID · arXiv · Math-Net.Ru Documents Indexed: 54 Publications since 1984, including 1 Book 1 Contribution as Editor Co-Authors: 29 Co-Authors with 47 Joint Publications 463 Co-Co-Authors all top 5 Co-Authors 7 single-authored 12 Shishkina, Elina Leonidovna 7 Mehrez, Khaled 5 Karp, Dmitriĭ Borisovich 4 Katrakhov, V. V. 3 Jebabli, Inèss 3 Pevny, Aleksandr Borisovich 2 Durdiev, Durdimurod Kalandarovich 2 Kiselev, Evgenii A. 2 Kravchenko, Vladislav V. 2 Minin, Leonid A. 2 Savenkova, A. S. 2 Skoromnik, Oksana V. 2 Yaremko, Oleg Èmmanuilovich 2 Zhukovskaya, Natalia V. 1 Agarwal, Praveen 1 Dannan, Fozi Mustafa 1 Donchev, Donche S. 1 Fitouhi, Ahmed 1 Korenovskii, Anatolii A. 1 Makovetsky, Viktor I. 1 Mehrez, Mohamed W. 1 Novikov, Igor Yakovlevich 1 Polovinkin, Igor P. 1 Shlapakov, Sergei A. 1 Timashov, A. S. 1 Ushakov, S. N. 1 Yaremko, Natalia 1 Yaremko, Natal’ya Nikolaevna 1 Zhuravlev, M. V. all top 5 Serials 5 Lobachevskii Journal of Mathematics 5 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 2 Journal of Computational and Applied Mathematics 2 Soviet Mathematics. Doklady 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Doklady Mathematics 2 Matematicheskie Zametki SVFU 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Applied Mathematics and Computation 1 Differentsial’nye Uravneniya 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Matematički Vesnik 1 Results in Mathematics 1 Computational Mathematics and Mathematical Physics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Integral Transforms and Special Functions 1 The Ramanujan Journal 1 Analysis (München) 1 Vestnik Syktyvkarskogo Universiteta. Seriya 1. Matematika, Mekhanika, Informatika 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Mathematics in Science and Engineering 1 Problemy Analiza. Issues of Analysis 1 Trends in Mathematics all top 5 Fields 17 Special functions (33-XX) 16 Real functions (26-XX) 13 Partial differential equations (35-XX) 13 Integral transforms, operational calculus (44-XX) 12 Operator theory (47-XX) 6 Ordinary differential equations (34-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 4 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 2 Number theory (11-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 309 times in 169 Documents Cited by ▼ Year ▼ Log-convexity and log-concavity of hypergeometric-like functions. Zbl 1226.33003Karp, D.; Sitnik, S. M. 32 2010 Inequalities and monotonicity of ratios for generalized hypergeometric function. Zbl 1185.33008Karp, D.; Sitnik, S. M. 26 2009 Transmutations, singular and fractional differential equations with applications to mathematical physics. Zbl 1454.35003Shishkina, Elina; Sitnik, Sergei 24 2020 Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions. Zbl 1351.33007Sitnik, Sergei M.; Mehrez, Khaled 23 2016 Functional inequalities for the Mittag-Leffler functions. Zbl 1371.33033Mehrez, Khaled; Sitnik, Sergei M. 20 2017 General form of the Euler-Poisson-Darboux equation and application of the transmutation method. Zbl 1379.35195Shishkina, Elina L.; Sitnik, Sergei M. 17 2017 Applications of the integral transforms composition method to wave-type singular differential equations and index shift transmutations. Zbl 1395.44001Fitouhi, Ahmed; Jebabli, Inèss; Shishkina, Elina L.; Sitnik, Sergei M. 13 2018 Functional inequalities for the Fox-Wright functions. Zbl 1431.33007Mehrez, Khaled; Sitnik, Sergei M. 12 2019 On monotonicity of ratios of some \(q\)-hypergeometric functions. Zbl 1474.33068Mehrez, Khaled; Sitnik, Sergei M. 12 2016 Factorization and estimates of the norms of Buschman-Erdélyi operators in weighted Lebesgue spaces. Zbl 0771.44004Sitnik, S. M. 10 1991 Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity. Zbl 1118.33010Karp, D.; Sitnik, S. M. 10 2007 Buschman-Erdelyi transmutations, classification and applications. Zbl 1354.44004Sitnik, S. M. 9 2014 Series expansions for the third incomplete elliptic integral via partial fraction decompositions. Zbl 1117.33013Karp, D.; Savenkova, A.; Sitnik, S. M. 9 2007 Inequalities for Bessel functions. Zbl 0880.33002Sitnik, S. M. 9 1995 Turán type inequalities for classical and generalized Mittag-Leffler functions. Zbl 1438.33033Mehrez, M.; Sitnik, S. M. 9 2018 Composition method for constructing \(B\)-elliptic, \(B\)-hyperbolic, and \(B\)-parabolic transformation operators. Zbl 0878.47033Katrakhov, V. V.; Sitnik, S. M. 8 1994 A boundary value problem or the steady-state Schrödinger equation with a singular potential. Zbl 0641.35013Katrakhov, V. V.; Sitnik, S. M. 7 1984 On fractional powers of the Bessel operator on semiaxis. Zbl 1390.26012Sitnik, Sergeĭ Mikhaĭlovich; Shishkina, Elina Leonidovna 7 2018 On monotonicity of ratios of some hypergeometric functions. Zbl 1344.33005Sitnik, Sergei Mihailovich; Mehrez, Khaled 6 2016 Jacobi theta-functions and systems of integer shifted Gaussian functions. Zbl 1219.42023Zhuravlev, M. V.; Kiselev, E. A.; Minin, L. A.; Sitnik, S. M. 6 2011 On the Riesz constants for systems of integer translates. Zbl 1319.42028Kiselev, E. A.; Minin, L. A.; Novikov, I. Ya.; Sitnik, S. M. 5 2014 Factorization methods in the theory of transmutation operators. Zbl 0827.47013Katrakhov, V. V.; Sitnik, S. M. 5 1990 Generalized Volterra functions, its integral representations and applications to the Mathieu-type series. Zbl 1428.33003Mehrez, Khaled; Sitnik, Sergei M. 5 2019 Estimates of the Jost solution to a one-dimensional Schrödinger equation with a singular potential. Zbl 0882.34083Katrakhov, V. V.; Sitnik, S. M. 4 1995 The explicit formula for solution of anomalous diffusion equation in the multi-dimensional space. Zbl 1468.35231Durdiev, Durdimurod; Shishkina, Elina; Sitnik, Sergey 4 2021 Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions. Zbl 1446.33009Mehrez, Khaled; Sitnik, Sergei M. 4 2018 Transmutation operators and applications. Zbl 1443.34001 3 2020 A survey of Buschman-Erdelyi transmutations. Zbl 1464.44004Sitnik, Sergeĭ Mikhaĭlovich 2 2016 On the correctness of finite-rank approximations by series of shifted Gaussians. Zbl 1459.41006Sitnik, S. M.; Timashov, A. S.; Ushakov, S. N. 2 2020 On an identity for the iterated weighted spherical mean and its applications. Zbl 1370.35080Shishkina, Elina Leonidovna; Sitnik, Sergei Mihailovich 1 2016 On integral representation to solutions for a differential equation with singular coefficients. Zbl 1226.44002Sitnik, S. M. 1 2010 On generalizations of M. G. Krein, E. A. Gorin and Yu. V. Linnik inequalities for positive definite functions for multipoint case. Zbl 1412.42025Pevnyĭ, Aleksandr Borisovich; Sitnik, Sergeĭ Mikhaĭlovich 1 2019 Some recent developments in the transmutation operator approach. Zbl 1501.47080Kravchenko, Vladislav V.; Sitnik, Sergei M. 1 2020 One-dimensional and multi-dimensional integral transforms of Buschman-Erdélyi type with Legendre functions in kernels. Zbl 1453.44005Sitnik, Sergei M.; Skoromnik, Oksana V. 1 2020 Fractional powers of Bessel operator and its numerical calculation. Zbl 07405413Durdiev, D. K.; Shishkina, E. L.; Sitnik, S. M. 1 2021 The explicit formula for solution of anomalous diffusion equation in the multi-dimensional space. Zbl 1468.35231Durdiev, Durdimurod; Shishkina, Elina; Sitnik, Sergey 4 2021 Fractional powers of Bessel operator and its numerical calculation. Zbl 07405413Durdiev, D. K.; Shishkina, E. L.; Sitnik, S. M. 1 2021 Transmutations, singular and fractional differential equations with applications to mathematical physics. Zbl 1454.35003Shishkina, Elina; Sitnik, Sergei 24 2020 Transmutation operators and applications. Zbl 1443.34001 3 2020 On the correctness of finite-rank approximations by series of shifted Gaussians. Zbl 1459.41006Sitnik, S. M.; Timashov, A. S.; Ushakov, S. N. 2 2020 Some recent developments in the transmutation operator approach. Zbl 1501.47080Kravchenko, Vladislav V.; Sitnik, Sergei M. 1 2020 One-dimensional and multi-dimensional integral transforms of Buschman-Erdélyi type with Legendre functions in kernels. Zbl 1453.44005Sitnik, Sergei M.; Skoromnik, Oksana V. 1 2020 Functional inequalities for the Fox-Wright functions. Zbl 1431.33007Mehrez, Khaled; Sitnik, Sergei M. 12 2019 Generalized Volterra functions, its integral representations and applications to the Mathieu-type series. Zbl 1428.33003Mehrez, Khaled; Sitnik, Sergei M. 5 2019 On generalizations of M. G. Krein, E. A. Gorin and Yu. V. Linnik inequalities for positive definite functions for multipoint case. Zbl 1412.42025Pevnyĭ, Aleksandr Borisovich; Sitnik, Sergeĭ Mikhaĭlovich 1 2019 Applications of the integral transforms composition method to wave-type singular differential equations and index shift transmutations. Zbl 1395.44001Fitouhi, Ahmed; Jebabli, Inèss; Shishkina, Elina L.; Sitnik, Sergei M. 13 2018 Turán type inequalities for classical and generalized Mittag-Leffler functions. Zbl 1438.33033Mehrez, M.; Sitnik, S. M. 9 2018 On fractional powers of the Bessel operator on semiaxis. Zbl 1390.26012Sitnik, Sergeĭ Mikhaĭlovich; Shishkina, Elina Leonidovna 7 2018 Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions. Zbl 1446.33009Mehrez, Khaled; Sitnik, Sergei M. 4 2018 Functional inequalities for the Mittag-Leffler functions. Zbl 1371.33033Mehrez, Khaled; Sitnik, Sergei M. 20 2017 General form of the Euler-Poisson-Darboux equation and application of the transmutation method. Zbl 1379.35195Shishkina, Elina L.; Sitnik, Sergei M. 17 2017 Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions. Zbl 1351.33007Sitnik, Sergei M.; Mehrez, Khaled 23 2016 On monotonicity of ratios of some \(q\)-hypergeometric functions. Zbl 1474.33068Mehrez, Khaled; Sitnik, Sergei M. 12 2016 On monotonicity of ratios of some hypergeometric functions. Zbl 1344.33005Sitnik, Sergei Mihailovich; Mehrez, Khaled 6 2016 A survey of Buschman-Erdelyi transmutations. Zbl 1464.44004Sitnik, Sergeĭ Mikhaĭlovich 2 2016 On an identity for the iterated weighted spherical mean and its applications. Zbl 1370.35080Shishkina, Elina Leonidovna; Sitnik, Sergei Mihailovich 1 2016 Buschman-Erdelyi transmutations, classification and applications. Zbl 1354.44004Sitnik, S. M. 9 2014 On the Riesz constants for systems of integer translates. Zbl 1319.42028Kiselev, E. A.; Minin, L. A.; Novikov, I. Ya.; Sitnik, S. M. 5 2014 Jacobi theta-functions and systems of integer shifted Gaussian functions. Zbl 1219.42023Zhuravlev, M. V.; Kiselev, E. A.; Minin, L. A.; Sitnik, S. M. 6 2011 Log-convexity and log-concavity of hypergeometric-like functions. Zbl 1226.33003Karp, D.; Sitnik, S. M. 32 2010 On integral representation to solutions for a differential equation with singular coefficients. Zbl 1226.44002Sitnik, S. M. 1 2010 Inequalities and monotonicity of ratios for generalized hypergeometric function. Zbl 1185.33008Karp, D.; Sitnik, S. M. 26 2009 Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity. Zbl 1118.33010Karp, D.; Sitnik, S. M. 10 2007 Series expansions for the third incomplete elliptic integral via partial fraction decompositions. Zbl 1117.33013Karp, D.; Savenkova, A.; Sitnik, S. M. 9 2007 Inequalities for Bessel functions. Zbl 0880.33002Sitnik, S. M. 9 1995 Estimates of the Jost solution to a one-dimensional Schrödinger equation with a singular potential. Zbl 0882.34083Katrakhov, V. V.; Sitnik, S. M. 4 1995 Composition method for constructing \(B\)-elliptic, \(B\)-hyperbolic, and \(B\)-parabolic transformation operators. Zbl 0878.47033Katrakhov, V. V.; Sitnik, S. M. 8 1994 Factorization and estimates of the norms of Buschman-Erdélyi operators in weighted Lebesgue spaces. Zbl 0771.44004Sitnik, S. M. 10 1991 Factorization methods in the theory of transmutation operators. Zbl 0827.47013Katrakhov, V. V.; Sitnik, S. M. 5 1990 A boundary value problem or the steady-state Schrödinger equation with a singular potential. Zbl 0641.35013Katrakhov, V. V.; Sitnik, S. M. 7 1984 all cited Publications top 5 cited Publications all top 5 Cited by 177 Authors 25 Sitnik, Sergei Mihailovich 23 Mehrez, Khaled 20 Karp, Dmitriĭ Borisovich 7 Pogány, Tibor K. 7 Shishkina, Elina Leonidovna 6 Kalmykov, Sergeĭ Ivanovich 5 Baricz, Árpád 5 Yin, Li 4 Glushak, A. V. 4 Kiselev, Evgenii A. 4 Minin, Leonid A. 4 Novikov, Igor Yakovlevich 3 Dou, Xiangkai 3 Orsingher, Enzo 2 Ansari, Alireza 2 Bansal, Manish Kumar 2 Bao, Qi 2 Bentrad, Ali 2 Durdiev, Durdimurod Kalandarovich 2 Dzhabrailov, A. L. 2 Echi, Othman 2 Fernandez, Arran 2 Garra, Roberto 2 Gaunt, Robert Edward 2 Jebabli, Inèss 2 Jolly, Nidhi 2 Khalfallah, Adel 2 Kravchenko, Vladislav V. 2 Kristály, Alexandru 2 Kroumi, Dhaker 2 López, José Luis 2 Mondal, Saiful Rahman 2 Parmar, Rakesh Kumar 2 Prilepkina, Elena Gumarovna 2 Rahman, Gauhar 2 Sandev, Trifce 2 Skoromnik, Oksana V. 2 Sooppy Nisar, Kottakkaran 2 Vuorinen, Matti Keijo Kustaa 2 Wang, Miaokun 2 Zhang, Xiaohui 1 Agarwal, Praveen 1 Ali, Rosihan Mohamed 1 Altun, Ömer 1 Alzamili, Khitam 1 Aminikhah, Hossein 1 Anderson, Glen Douglas 1 Araci, Serkan 1 Arshad, Muhammad 1 Askari, Hassan Randjbar 1 Avdonin, Sergeĭ Anatol’evich 1 Awad, Emad S. 1 Azimzadeh, Parsiad 1 Badía, Francisco German 1 Bansal, Deepak 1 Bartholmé, Carine 1 Bazhlekova, Emilia G. 1 Bennasr, Lassad 1 Bertoli, Sávio Leandro 1 Blackmore, Denis L. 1 Bouzeffour, Fethi 1 Butzer, Paul Leo 1 Carr, Lincoln D. 1 Chechkin, Aleksei V. 1 Chernov, Andreĭ Vladimirovich 1 Chow, Kwok Wing 1 da Silva Kalvelage, Pollyana M. 1 Das, Apurba Narayan 1 Das, Sourav 1 de Almeida, Juliano 1 De Gregorio, Alessandro 1 Domingo, Dario 1 d’Onofrio, Alberto 1 Draščić Ban, Biserka 1 Driver, Kathy A. 1 Dzarakhohov, Azamat Valerianovich 1 El Kamel, Jamel 1 Ender, Laércio 1 Fahad, Hafiz Muhammad 1 Fejzullahu, Bujar Xh. 1 Ferrari, Fausto 1 Ferreira, Rui A. C. 1 Fitouhi, Ahmed 1 Flandoli, Franco 1 Fukushima, Toshio 1 Galstian, Anahit 1 Garayev, Mübariz Tapdıgoğlu 1 Gopal, N. S. 1 He, Zaiyin 1 Heikkala, Ville 1 Holtz, Olga 1 Hornik, Kurt 1 Huang, Liguo 1 Ismail, Mourad El-Houssieny 1 Jankov, Dragana 1 Jiang, Yueping 1 Jonnalagadda, Jagan Mohan 1 Kadirkulov, Bakhtiyor J. 1 Kaliraj, Kalimuthu 1 Kiliçman, Adem ...and 77 more Authors all top 5 Cited in 83 Serials 12 Journal of Mathematical Analysis and Applications 11 Lobachevskii Journal of Mathematics 6 Journal of Computational and Applied Mathematics 5 Mathematical Notes 5 Integral Transforms and Special Functions 4 Journal of Mathematical Sciences (New York) 4 Journal of Inequalities and Applications 3 Analysis Mathematica 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Mathematical Inequalities & Applications 3 Fractional Calculus & Applied Analysis 3 Communications of the Korean Mathematical Society 3 Differential Equations 3 Complex Variables and Elliptic Equations 3 Journal of Mathematical Inequalities 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Physics 2 Chaos, Solitons and Fractals 2 Journal of Approximation Theory 2 Journal of Differential Equations 2 Results in Mathematics 2 Computational Mathematics and Mathematical Physics 2 Journal of Inverse and Ill-Posed Problems 2 The Ramanujan Journal 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Analysis and Mathematical Physics 2 Journal of Function Spaces 2 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Operations Research Letters 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Statistics. Theory and Methods 1 Russian Mathematics 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Journal of Difference Equations and Applications 1 Sbornik: Mathematics 1 Journal of Applied Analysis 1 Honam Mathematical Journal 1 Discrete Dynamics in Nature and Society 1 Analysis (München) 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Advances in Difference Equations 1 Cubo 1 Oberwolfach Reports 1 Applications and Applied Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Applicable Analysis and Discrete Mathematics 1 Banach Journal of Mathematical Analysis 1 Arabian Journal of Mathematics 1 Palestine Journal of Mathematics 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Problemy Analiza. Issues of Analysis 1 Modern Stochastics. Theory and Applications 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 Journal of Siberian Federal University. Mathematics & Physics 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 1 AIMS Mathematics 1 Mathematical Foundations of Computing 1 Mechanics of Solids all top 5 Cited in 35 Fields 92 Special functions (33-XX) 65 Real functions (26-XX) 35 Partial differential equations (35-XX) 22 Integral transforms, operational calculus (44-XX) 18 Operator theory (47-XX) 14 Ordinary differential equations (34-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 10 Functions of a complex variable (30-XX) 8 Functional analysis (46-XX) 8 Probability theory and stochastic processes (60-XX) 7 Approximations and expansions (41-XX) 5 Number theory (11-XX) 5 Statistics (62-XX) 4 Difference and functional equations (39-XX) 4 Sequences, series, summability (40-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year