Hankel Determinants of Logarithmic Coefficients for the Class of Bounded Turning Functions Associated with Lune Domain Bilal Şeker, Bilal Çekiç, Sevtap Sümer, Onur Akçiçek Mathematical Sciences and Applications E Notes, 2025 In this paper, we first obtained some initial logarithmic coefficient bounds on a subclass of bounded turning functions $\\mathcal{R}_{\\mathcal{L}}$ related to a lune domain. For functions belonging to this class, we determined the sharp bounds for the second Hankel determinant of logarithmic coefficients $H_{2,1}\\left( F_{f}/2\\right) $ of bounded turning functions related to a lune domain. Finally, we calculated the bounds of third Hankel determinant of logarithmic coefficients $H_{3,1}\\left( F_{f}/2\\right)$ of bounded turning functions associated with a lune domain.
SECOND HANKEL DETERMINANT OF THE LOGARITHMIC COEFFICIENTS FOR A SUBCLASS OF UNIVALENT FUNCTIONS Hari Mohan Srivastava, Sevtap Sümer Eker, Bilal Şeker, Bilal Çekiç Miskolc Mathematical Notes, 2024 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.
ON NORMALIZED RABOTNOV FUNCTION ASSOCIATED WITH CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS S. Smer Eker, B. �eker, S. Ece Problemy Analiza, 2023 In this paper, we investigate some sufficient conditions for the normalized Rabotnov function to be in certain subclasses of analytic and univalent functions. The usefulness of the results is depicted by some corollaries and examples.
A CLASS OF POISSON DISTRIBUTIONS BASED UPON A TWO-PARAMETER MITTAG-LEFFLER TYPE FUNCTION Journal of Nonlinear and Convex Analysis, 2023
On Subclasses of Analytic Functions Associated with Miller-Ross-Type Poisson Distribution Series Bilal Şeker, Sevtap Sümer Eker, Bilal Çekiç Sahand Communications in Mathematical Analysis, 2022 The aim of this article is to obtain some necessary and sufficient conditions for functions, whose coefficients are probabilities of the Miller-Ross-type Poisson distribution series, to belong to certain subclasses of analytic and univalent functions. Furthermore, we consider an integral operator related to the Miller-Ross type Poisson distribution series.
Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions Sevtap Sümer Eker, Bilal Şeker, Bilal Çekiç, Mugur Acu Axioms, 2022 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 Subclasses of M-Fold Symmetric Bi-Univalent Functions Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2021
Hankel Determinants of Logarithmic Coefficients for the Class of Bounded Turning Functions Associated with Cardioid Domain O Akçiçek, B Şeker Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 14 (2), 697-712 , 2025 2025
Hankel Determinants of Logarithmic Coefficients for the Class of Bounded Turning Functions Associated with Lune Domain B Şeker, B Çekiç, S Sümer, O Akçiçek Mathematical Sciences and Applications E-Notes 13 (2), 72-83 , 2025 2025 Citations: 1
The second Hankel determinant of logarithmic coefficients and logarithmic inverse coefficients for the class of bounded turning functions of order α B Şeker, B Çekiç, S Sümer, O Akçiçek Lithuanian Mathematical Journal 64 (4), 530-545 , 2024 2024
A study on a harmonic univalent functions in terms of q difference operator A Canbulat, FM Sakar, B Şeker Bull. Inter. Math. Virt. Inst 14 (1), 1-11 , 2024 2024 Citations: 1
Second Hankel determinant of the logarithmic coefficients for a subclass of univalent functions HM Srivastava, SS Eker, B Şeker, B Çekiç Miskolc Mathematical Notes 25 (1), 479-488 , 2024 2024 Citations: 8
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 2023 Citations: 4
The second Hankel determinant of logarithmic coefficients for strongly Ozaki close-to-convex functions S Sümer Eker, A Lecko, B Çekiç, B Şeker Bulletin of the Malaysian Mathematical Sciences Society 46 (6), 183 , 2023 2023 Citations: 17
Spiral-like functions associated with Miller–Ross-type Poisson distribution series S Sümer Eker, G Murugusundaramoorthy, B Şeker, B Çekiç Boletín de la Sociedad Matemática Mexicana 29 (1), 16 , 2023 2023 Citations: 13
A class of Poisson distributions based upon a two-parameter Mittag-Leffler type function HM Srivastava, B Sekar, SS Eker, B Cekic Journal of Nonlinear and Convex Analysis 24 (2), 475-485 , 2023 2023 Citations: 10
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 2023 Citations: 8
On subclasses of analytic functions associated with Miller-Ross-type Poisson distribution series B Şeker, S Sümer Eker, B Cekic Sahand Communications in Mathematical Analysis 19 (4), 69-79 , 2022 2022 Citations: 14
Sharp bounds for the second Hankel determinant of logarithmic coefficients for strongly starlike and strongly convex functions S Sümer Eker, B Şeker, B Çekiç, M Acu Axioms 11 (8), 369 , 2022 2022 Citations: 15
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 2022 Citations: 7
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 2021 Citations: 2
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 2021
On subclasses of m-fold symmetric bi-univalent functions B Şeker, İ Taymur TWMS Journal of Applied and Engineering Mathematics , 2021 2021 Citations: 9
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 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 2020 Citations: 6
On subclasses of bi-convex functions defined by Tremblay fractional derivative operator. SS Eker, B Şeker Studia Universitatis Babeș-Bolyai, Mathematica 64 (4) , 2019 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 2018 Citations: 25
MOST CITED SCHOLAR PUBLICATIONS
On certain new subclass of close-to-convex functions B Şeker Applied Mathematics and Computation 218 (3), 1041-1045 , 2011 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 2018 Citations: 25
On a class of multivalent functions defined by Salagean operator SS Eker, B Seker General Mathematics 15 (2-3), 154-163 , 2007 2007 Citations: 25
The second Hankel determinant of logarithmic coefficients for strongly Ozaki close-to-convex functions S Sümer Eker, A Lecko, B Çekiç, B Şeker Bulletin of the Malaysian Mathematical Sciences Society 46 (6), 183 , 2023 2023 Citations: 17
Sharp bounds for the second Hankel determinant of logarithmic coefficients for strongly starlike and strongly convex functions S Sümer Eker, B Şeker, B Çekiç, M Acu Axioms 11 (8), 369 , 2022 2022 Citations: 15
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 2009 Citations: 15
On subclasses of analytic functions associated with Miller-Ross-type Poisson distribution series B Şeker, S Sümer Eker, B Cekic Sahand Communications in Mathematical Analysis 19 (4), 69-79 , 2022 2022 Citations: 14
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 2009 Citations: 14
Spiral-like functions associated with Miller–Ross-type Poisson distribution series S Sümer Eker, G Murugusundaramoorthy, B Şeker, B Çekiç Boletín de la Sociedad Matemática Mexicana 29 (1), 16 , 2023 2023 Citations: 13
On -pseudo bi-starlike and -pseudo bi-convex functions with respect to symmetrical points SS Eker, B Şeker 2018 Citations: 13
Sălăgean-type harmonic multivalent functions. JM Jahangiri, B Şeker, SS Eker Acta Universitatis Apulensis. Mathematics-Informatics 18, 233-244 , 2009 2009 Citations: 12
Subclasses of κ-uniformly convex and κ-starlike functions defined by sǎlǎgean operator B Seker, M Acu, SS Eker Bull. Korean Math. Soc 48 (1), 169-182 , 2011 2011 Citations: 11
A class of Poisson distributions based upon a two-parameter Mittag-Leffler type function HM Srivastava, B Sekar, SS Eker, B Cekic Journal of Nonlinear and Convex Analysis 24 (2), 475-485 , 2023 2023 Citations: 10
On subclasses of m-fold symmetric bi-univalent functions B Şeker, İ Taymur TWMS Journal of Applied and Engineering Mathematics , 2021 2021 Citations: 9
Second Hankel determinant of the logarithmic coefficients for a subclass of univalent functions HM Srivastava, SS Eker, B Şeker, B Çekiç Miskolc Mathematical Notes 25 (1), 479-488 , 2024 2024 Citations: 8
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 2023 Citations: 8
On subclasses of bi-close-to-convex functions related to the odd-starlike functions B Seker, S Sümer Eker Palestine Journal of Mathematics 6, 215-221 , 2017 2017 Citations: 8
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 2022 Citations: 7
A subclass of close-to-convex functions B Seker, NE Cho Hacettepe Journal of Mathematics and Statistics 42 (4), 373-379 , 2013 2013 Citations: 7
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 2020 Citations: 6
