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Contemporary Mathematics. Fundamental Directions, 2011, Volume 40, Pages 3–171 (Mi cmfd182)  

This article is cited in 68 scientific papers (total in 68 papers)

Distribution of roots of Mittag-Leffler functions

A. Yu. Popov, A. M. Sedletskii

Moscow State University, Moscow, Russia
References:
English version:
Journal of Mathematical Sciences, 2013, Volume 190, Issue 2, Pages 209–409
DOI: https://doi.org/10.1007/s10958-013-1255-3
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. Yu. Popov, A. M. Sedletskii, “Distribution of roots of Mittag-Leffler functions”, Theory of functions, CMFD, 40, PFUR, M., 2011, 3–171; Journal of Mathematical Sciences, 190:2 (2013), 209–409
Citation in format AMSBIB
\Bibitem{PopSed11}
\by A.~Yu.~Popov, A.~M.~Sedletskii
\paper Distribution of roots of Mittag-Leffler functions
\inbook Theory of functions
\serial CMFD
\yr 2011
\vol 40
\pages 3--171
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd182}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2883249}
\zmath{https://zbmath.org/?q=an:06187531}
\transl
\jour Journal of Mathematical Sciences
\yr 2013
\vol 190
\issue 2
\pages 209--409
\crossref{https://doi.org/10.1007/s10958-013-1255-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84880584869}
Linking options:
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  • This publication is cited in the following 68 articles:
    1. Vasily E. Tarasov, “Prigogine–Resibois master equation with power-law kernel: quantum dynamics with memory”, Eur. Phys. J. Plus, 140:4 (2025)  crossref
    2. Daurenbek Serikbaev, Niyaz Tokmagambetov, “Determination of Initial Data in the Time-Fractional Pseudo-Hyperbolic Equation”, Symmetry, 16:10 (2024), 1332  crossref
    3. I.V. Romanov, A.S. Shamaev, “On the Absence of a Propagation Front in the Cauchy Problem for a Certain Integro-Differential Equation with a Rabotnov Kernel”, Russ. J. Math. Phys., 31:4 (2024), 758  crossref
    4. O. S. Budnikova, M. N. Botoroeva, G. K. Sokolova, “Postroenie oblastei ustoichivosti neyavnogo metoda dlya chislennogo resheniya integro-algebraicheskogo uravneniya tipa Abelya”, Sib. zhurn. vychisl. matem., 26:1 (2023), 1–16  mathnet  crossref
    5. Masahiro Yamamoto, “Uniqueness for inverse problem of determining fractional orders for time-fractional advection-diffusion equations”, MCRF, 13:2 (2023), 833  crossref
    6. M. Almohamed, I. V. Tikhonov, “Specific Cases of One General Inverse Problem for Abstract Differential Equations”, Lobachevskii J Math, 44:2 (2023), 502  crossref
    7. Luigi Amedeo Bianchi, Stefano Bonaccorsi, Luciano Tubaro, “A class of fractional Ornstein–Uhlenbeck processes mixed with a Gamma distribution”, Modern Stochastics: Theory and Applications, 2023, 37  crossref
    8. Abdelhamid Mohammed Djaouti, “Weakly Coupled System of Semi-Linear Fractional θ-Evolution Equations with Special Cauchy Conditions”, Symmetry, 15:7 (2023), 1341  crossref
    9. N. N. Petrov, A. I. Machtakova, “Linear Group Pursuit Problem with Fractional Derivatives, Simple Matrices, and Different Possibilities of Players”, Diff Equat, 59:7 (2023), 933  crossref
    10. O. S. Budnikova, M. N. Botoroeva, G. K. Sokolova, “Stability Domains of an Implicit Method for the Numerical Solution of Abel Type Integral Algebraic Equations”, Numer. Analys. Appl., 16:1 (2023), 1  crossref
    11. V. V. Saenko, “Integral representation of the Mittag-Leffler function”, Russian Math. (Iz. VUZ), 66:4 (2022), 43–58  mathnet  crossref  crossref
    12. Alena I. Machtakova, Nikolai N. Petrov, “Matrix resolving functions in the linear group pursuit problem with fractional derivatives”, Ural Math. J., 8:1 (2022), 76–89  mathnet  crossref  mathscinet
    13. V. V. Saenko, “The calculation of the Mittag-Leffler function”, International Journal of Computer Mathematics, 99:7 (2022), 1367  crossref
    14. Alena I. Machtakova, Nikolai N. Petrov, Lecture Notes in Control and Information Sciences - Proceedings, Stability and Control Processes, 2022, 391  crossref
    15. I. V. Tikhonov, M. Almohamed, “Inverse Problem with Overdetermination of the Third Kind for an Abstract Second-Order Differential Equation”, Diff Equat, 58:7 (2022), 877  crossref
    16. Marcello D'Abbicco, Giovanni Girardi, “Asymptotic profile for a two-terms time fractional diffusion problem”, Fract Calc Appl Anal, 25:3 (2022), 1199  crossref
    17. F. G. Khushtova, “Third Boundary-Value Problem in the Half-Strip for the B-Parabolic Equation”, Math. Notes, 109:2 (2021), 292–301  mathnet  crossref  crossref  mathscinet  isi
    18. S. I. Piskarev, A. V. Ovchinnikov, “Attraktory, zatenenie i approksimatsiya abstraktnykh polulineinykh differentsialnykh uravnenii”, Funktsionalnyi analiz, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 189, VINITI RAN, M., 2021, 3–130  mathnet  crossref
    19. Cascante C., Fabrega J., Pascuas D., “Muckenhoupt Type Weights and Berezin Formulas For Bergman Spaces”, J. Math. Anal. Appl., 504:1 (2021), 125481  crossref  mathscinet  isi  scopus
    20. S.Sh. Rekhviashvili, A. V. Pskhu, Z. Ch. Margushev, “Fractional oscillator radiation”, Tech. Phys. Lett., 2022,  mathnet  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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