SECOND HANKEL DETERMINANT OF THE LOGARITHMIC COEFFICIENTS FOR A SUBCLASS OF UNIVALENT FUNCTIONS Hari Mohan Srivastava, Sevtap Sümer Eker, Bilal Şeker, and Bilal Çekiç Mathematical Notes In the present paper, we give the bounds for the second Hankel determinant of the logarithmic coefficients of a certain subclass of normalized univalent functions, which we have introduced here. Relevant connections of the results, which we have presented here, with those available in the existing literature are also described briefly.
Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions Sevtap Sümer Eker, Bilal Şeker, Bilal Çekiç, and Mugur Acu MDPI AG The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of univalent functions themselves or to their powers, via the Lebedev–Milin inequalities; therefore, it is interesting to investigate the Hankel determinant whose entries are logarithmic coefficients. The main purpose of this paper is to obtain the sharp bounds for the second Hankel determinant of logarithmic coefficients of strongly starlike functions and strongly convex functions.
On a new subclass of bi-univalent functions defined by using Salagean operator Bilal ŞEKER The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS In this manuscript, by using the Salagean operator, new subclasses of bi-univalent functions in the open unit disk are defined. Moreover, for functions belonging to these new subclasses, upper bounds for the second and third coefficients are found.
The second Hankel determinant of logarithmic coefficients and logarithmic inverse coefficients for the class of bounded turning functions of order α B Şeker, B eki, S Smer, O Akiek Lithuanian Mathematical Journal, 1-16 2024
SECOND HANKEL DETERMINANT OF THE LOGARITHMIC COEFFICIENTS FOR A SUBCLASS OF UNIVALENT FUNCTIONS Srivastava, Hari mohan, Eker, Sevtap sumer, B Seker, B Cekic MISKOLC MATHEMATICAL NOTES 25 (1), 479-488 2024
A STUDY ON A HARMONIC UNIVALENT FUNCTIONS IN TERMS OF Q DIFFERENCE OPERATOR. A Canbulat, FM Sakar, B Seker Bulletin of International Mathematical Virtual Institute 14 (1) 2024
Second Hankel determinant of the logarithmic coefficients for a subclass of univalent functions HM Srivastava, SS Eker, B Şeker, B eki Miskolc Mathematical Notes 25 (1), 479-488 2024
A study on various subclasses of uniformly harmonic starlike mappings by Pascal distribution series FM Sakar, N Tasar, B Seker Journal of Mathematical Extension 17 2023
The second Hankel determinant of logarithmic coefficients for strongly Ozaki close-to-convex functions S Smer Eker, A Lecko, B eki, B Şeker Bulletin of the Malaysian Mathematical Sciences Society 46 (6), 183 2023
Spiral-like functions associated with Miller–Ross-type Poisson distribution series S Smer Eker, G Murugusundaramoorthy, B Şeker, B eki Boletn de la Sociedad Matemtica Mexicana 29 (1), 16 2023
A class of Poisson distributions based upon a two parameter Mittag-Leffler type function HM Srivastava, B Seker, SS Eker, B eki J. Nonlinear Convex Anal 24 (2), 475-485 2023
On normalized Rabotnov function associated with certain subclasses of analytic functions S Sumer Eker, B Şeker, S Ece Проблемы анализа—Issues of Analysis 12 (2), 97-106 2023
On subclasses of analytic functions associated with Miller-Ross-type Poisson distribution series B Şeker, S Smer Eker, B Cekic Sahand Communications in Mathematical Analysis 19 (4), 69-79 2022
Sharp bounds for the second Hankel determinant of logarithmic coefficients for strongly starlike and strongly convex functions S Smer Eker, B Şeker, B eki, M Acu Axioms 11 (8), 369 2022
Certain subclasses of analytic functions associated with Miller-Ross-type Poisson distribution series S Bilal, SE Sevtap, C Bilal Honam Mathematical Journal 44 (4), 504-512 2022
NORMALIZED DINI FUNCTIONS CONNECTED WITH k-UNIFORMLY CONVEX AND k-STARLIKE FUNCTIONS S ECE, SS EKER, B SEKER Journal of applied mathematics & informatics 39 (5_6), 717-723 2021
On certain subclass of univalent functions of complex order associated with Pascal distribution series B Şeker, SS Eker Communications Faculty of Sciences University of Ankara Series A1 2021
On subclasses of m-fold symmetric bi-univalent functions B Şeker, İ Taymur TWMS Journal of Applied and Engineering Mathematics 2021
Coefficient bounds for subclasses of bi-univalent functions defined by fractional derivative operator SS Eker, B Şeker, S Ece Tbilisi Mathematical Journal 13 (3), 1-10 2020
On certain subclasses of starlike and convex functions associated with Pascal distribution series B ŞEKER, SS EKER Turkish Journal of Mathematics 44 (6), 1982-1989 2020
On subclasses of bi-convex functions defined by Tremblay fractional derivative operator. SS Eker, B Şeker Studia Universitatis Babeş-Bolyai, Mathematica 64 (4) 2019
On a new subclass of bi-univalent functions defined by using Salagean operator B ŞEKER Turkish Journal of Mathematics 42 (6), 2891-2896 2018
On -pseudo bi-starlike and -pseudo bi-convex functions with respect to symmetrical points SS Eker, B Şeker 2018
MOST CITED SCHOLAR PUBLICATIONS
On certain new subclass of close-to-convex functions B Şeker Applied Mathematics and Computation 218 (3), 1041-1045 2011 Citations: 36
On a new subclass of bi-univalent functions defined by using Salagean operator B ŞEKER Turkish Journal of Mathematics 42 (6), 2891-2896 2018 Citations: 23
On a class of multivalent functions defined by Salagean operator SS Eker, B Seker General Mathematics 15 (2-3), 154-163 2007 Citations: 23
Inclusion and neighborhood properties for certain classes of multivalently analytic functions of complex order associated with the convolution structure HM Srivastava, SS Eker, B Şeker Applied Mathematics and Computation 212 (1), 66-71 2009 Citations: 15
On -pseudo bi-starlike and -pseudo bi-convex functions with respect to symmetrical points SS Eker, B Şeker 2018 Citations: 12
A certain convolution approach for subclasses of analytic functions with negative coefficients HM Srivastava, SS Eker, B Şeker Integral Transforms and Special Functions 20 (9), 687-699 2009 Citations: 12
Sălăgean-type harmonic multivalent functions. JM Jahangiri, B Şeker, SS Eker Acta Universitatis Apulensis. Mathematics-Informatics 18, 233-244 2009 Citations: 12
Sharp bounds for the second Hankel determinant of logarithmic coefficients for strongly starlike and strongly convex functions S Smer Eker, B Şeker, B eki, M Acu Axioms 11 (8), 369 2022 Citations: 11
Subclasses of k-uniformly convex and k-starlike functions defined by Sălăgean operator B Seker, M Acu, SS Eker Bulletin of the Korean Mathematical Society 48 (1), 169-182 2011 Citations: 11
The second Hankel determinant of logarithmic coefficients for strongly Ozaki close-to-convex functions S Smer Eker, A Lecko, B eki, B Şeker Bulletin of the Malaysian Mathematical Sciences Society 46 (6), 183 2023 Citations: 10
On subclasses of analytic functions associated with Miller-Ross-type Poisson distribution series B Şeker, S Smer Eker, B Cekic Sahand Communications in Mathematical Analysis 19 (4), 69-79 2022 Citations: 10
A class of Poisson distributions based upon a two parameter Mittag-Leffler type function HM Srivastava, B Seker, SS Eker, B eki J. Nonlinear Convex Anal 24 (2), 475-485 2023 Citations: 9
On subclasses of m-fold symmetric bi-univalent functions B Şeker, İ Taymur TWMS Journal of Applied and Engineering Mathematics 2021 Citations: 8
On subclasses of bi-close-to-convex functions related to the odd-starlike functions B Seker, S Smer Eker Palestine Journal of Mathematics 6, 215-221 2017 Citations: 8
Spiral-like functions associated with Miller–Ross-type Poisson distribution series S Smer Eker, G Murugusundaramoorthy, B Şeker, B eki Boletn de la Sociedad Matemtica Mexicana 29 (1), 16 2023 Citations: 7
On normalized Rabotnov function associated with certain subclasses of analytic functions S Sumer Eker, B Şeker, S Ece Проблемы анализа—Issues of Analysis 12 (2), 97-106 2023 Citations: 6
On certain subclasses of starlike and convex functions associated with Pascal distribution series B ŞEKER, SS EKER Turkish Journal of Mathematics 44 (6), 1982-1989 2020 Citations: 6
A subclass of close-to-convex functions B Seker, NE Cho Hacettepe Journal of Mathematics and Statistics 42 (4), 373-379 2013 Citations: 6
Certain subclasses of analytic functions associated with Miller-Ross-type Poisson distribution series S Bilal, SE Sevtap, C Bilal Honam Mathematical Journal 44 (4), 504-512 2022 Citations: 5
Coefficient bounds for new subclasses of bi-univalent functions B Seker, V Mehmetoglu New Trends in Mathematical Sciences 4 (3), 197-203 2016 Citations: 5