Person: ALTINKAYA, ŞAHSENE
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ALTINKAYA
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ŞAHSENE
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Publication A subclass of analytic functions defined by using mittag-leffler function(Honam Mathematical Soc, 2020-09-01) Mahmood, Tahir; Naeem, Muhammad; Hussain, Saqib; Khan, Shahid; Altınkaya, Şahsene; ALTINKAYA, ŞAHSENE; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/ Matematik Bölümü.; 0000-0002-7950-8450; AAA-8330-2021In this paper, new subclasses of analytic functions are proposed by using Mittag-Leffler function. Also some properties of these classes are studied in regard to coefficient inequality, distortion theorems, extreme points, radii of starlikeness and convexity and obtained numerous sharp results.Publication On a new class of salagean-type harmonic univalent functions associated with subordination(Honam Mathematical Soc, 2018-09-01) Altınkaya, Şahsene; Çakmak, Serkan; Yalçın, Sibel; ALTINKAYA, ŞAHSENE; Çakmak, Serkan; YALÇIN TOKGÖZ, SİBEL; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-7950-8450; 0000-0002-0243-8263; AAA-8330-2021; AAE-9745-2020; GZG-2072-2022In this present investigation, we introduce a new class of harmonic univalent functions of the form f = h + (g) over bar in the open unit disk Delta. We get basic properties, like, necessary and sufficient convolution conditions, distortion bounds, compactness and extreme points for these classes of functions.Publication Coefficient estimates for a certain subclass of bi- univalent functions(Univ Studi Catania, Dipt Matematica, 2016-01-01) Altınkaya, Şahsene; ALTINKAYA, ŞAHSENE; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-7950-8450; 0000-0002-0243-8263; AAA-8330-2021; ABC-6175-2020; AAE-9745-2020In the present investigation, we find estimates on the coefficients broken vertical bar a(2) broken vertical bar and broken vertical bar a(3) broken vertical bar for functions in the function class S-Sigma ( lambda,h). The results presented in this paper improve or generalize the recent work of Magesh and Yamini.Publication Coefficient bounds for certain subclasses of m-fold symmetric biunivalent functions(Hindawi, 2015-01-01) Altınkaya, Şahsene; Yalçın, Sibel; ALTINKAYA, ŞAHSENE; YALÇIN TOKGÖZ, SİBEL; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-7950-8450; 0000-0002-0243-8263; AAE-9745-2020; AAA-8330-2021We consider two new subclasses S-Sigma m(alpha,lambda) and S-Sigma m (beta,lambda) of Sigma(m) consisting of analytic and m-fold symmetric biunivalent functions in the open unit dis U. Furthermore, we establish bounds for the coefficients for these subclasses and several related classes are also considered and connections to earlier known results are made.Publication Generalized distribution for analytic function classes associated with error functions and Bell numbers(Springer, 2019-10-24) Altınkaya, Şahsene; Olatunji, Sunday Oluwafemi; ALTINKAYA, ŞAHSENE; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-7950-8450; AAA-8330-2021The primary motivation of the paper is to study the generalized distribution for analytic function classes associated with error functions and Bell numbers. Further, the authors estimate the bounds for probability distribution series by means of q-difference operator using subordination principle.Publication Second hankel determinant for a general subclass of bi-univalent functions(Inst Applied Mathematics, 2016-01-01) Altınkaya, Şahsene; Yalçın, Sibel; ALTINKAYA, ŞAHSENE; YALÇIN TOKGÖZ, SİBEL; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-7950-8450; 0000-0002-0243-8263; ABC-6175-2020; AAE-9745-2020; AAA-8330-2021Making use of the Hankel determinant, in this work, we consider a general subclass of bi-univalent functions. Moreover, we investigate the bounds of initial coefficients of this class.Publication The fekete-szego problem for a general class of bi-univalent functions satisfying subordinate conditions(Univ Maragheh, 2017-12-01) Altınkaya, Şahsene; Yalçın, Sibel; ALTINKAYA, ŞAHSENE; YALÇIN TOKGÖZ, SİBEL; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-0243-8263; AAE-9745-2020; AAA-8330-2021In this work, we obtain the Fekete-Szego inequalities for the class P-Sigma (lambda, phi) of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi [11].Publication On a new subclass of bi-univalent functions satisfying subordinate conditions(Ankara Üniversitesi, 2019-01-01) Mazi, Emeka; Altınkaya, Şahsene; ALTINKAYA, ŞAHSENE; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-7950-8450; AAA-8330-2021The purpose of our present paper is to introduce a new subclass of bi-univalent functions associated with pseudo-starlike function with Sakaguchi type functions and to determine the coefficient estimates vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in each of this newly-defined class. We also highlight some known consequences of our main results.Publication Coefficient bounds for a general subclass of bi-univalent functions(Univ Studi Catania, 2016-01-01) Altınkaya, Şahsene; Yalçın, Sibel; ALTINKAYA, ŞAHSENE; YALÇIN TOKGÖZ, SİBEL; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-0243-8263; AAE-9745-2020; AAA-8330-2021In the present investigation, we introduce and investigate a new subclass of the function class Sigma of bi-univalent functions defined in the open unit disc. We find estimates on the coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in the function class S-Sigma (n, h, lambda). The results presented in this paper improve or generalize the recent works of Jothibasu [13] and other authors.Publication On the chebyshev polynomial coefficient problem of bi-bazilevi functions(Türk Dünyası Matematik Topluluğu, 2020-01-01) AltInkaya, Şahsene; Yalçın, Sibel; ALTINKAYA, ŞAHSENE; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-7950-8450; 0000-0002-0243-8263; AAA-8330-2021; ABC-6175-2020; AAE-9745-2020A function said to be bi-Bazilevic in the open unit disk U if both the function and its inverse are Bazilevic there. In this paper, we will study a newly constructed class of bi-Bazilevic functions. Furthermore, we establish Chebyshev polynomial bounds for the coefficients, and get Fekete-Szego inequality, for the class B(beta, t).