Person: ALTINKAYA, ŞAHSENE
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ALTINKAYA
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ŞAHSENE
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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).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 A new class of salagean-type multivalent harmonic functions defined by subordination(Springer Int Publ Ag, 2020-10-18) Altınkaya, Şahsene; ALTINKAYA, ŞAHSENE; Çakmak, Serkan; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/MatematikAnabilim Dalı.; 0000-0002-0243-8263; 0000-0002-7950-8450; GZG-2072-2022; AAA-8330-2021; AAE-9745-2020Utilizing the concepts of subordination we have introduced a generalized class Salagean-Type of complex-valued multivalent harmonic functions. We construct some properties of our class. The results obtained here include a number of known and new results as their special cases.Publication Generalized distribution associated with quasi-subordination in terms of error function and bell numbers(Yarmouk Univ, Deanship Research & Graduate Studies, 2021-03-01) Olatunji, Sunday Oluwafemi; Altınkaya, Şahsene; ALTINKAYA, ŞAHSENE; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi; 0000-0002-7950-8450; FZT-6434-2022Generalized distribution is a statistical tools used in geometric function theory in recent time because of its application to real life problems. In this present work, the generalized distribution associated with quasi-subordination in terms of error function and bell numbers were studied. The first few coefficient bounds were obtained which are used to obtain the Fekete-Szego inequality.Publication On a new class of analytic functions related to fractional calculus(Publ House Bulgarian Acad Sci, 2020-01-01) Owa, Shigeyoshi; Altınkaya, Şahsene; ALTINKAYA, ŞAHSENE; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi.; 0000-0002-7950-8450; 0000-0002-0243-8263; AAA-8330-2021; AAE-9745-2020Let A be the class of analytic functions f with f(0) = 0 and f'(0) = 1 in the open unit disk U. Applying the fractional derivative D-z(lambda) f of order lambda for f is an element of A, a new subclass A(alpha, beta; lambda) of A with 0 <= alpha < 1, beta > 1 and 0 <= lambda < 1 is considered. The object of the present paper is to discuss some interesting properties of this class of functions.Publication Some applications of generalized srivastava-attiya operator to the bi-concave functions(Univ Miskolc Inst Math, 2020-01-01) Altınkaya, Şahsene; Yalçın, Sibel; ALTINKAYA, ŞAHSENE; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-7950-8450; 0000-0002-0243-8263; AAE-9745-2020; AAA-8330-2021In this present investigation, we are concerned with the class Omega C-m,k(Sigma;mu,b)0(alpha) of bi-concave functions defined by using the generalized Srivastava-Attiya operator. Moreover, we derive some coefficient inequalities for functions in this class.Publication The (p, q)-chebyshev polynomial bounds of a general bi-univalent function class(Springer, 2020-07-01) Altinkaya, Sahsene; ALTINKAYA, ŞAHSENE; Yalcin, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi; 0000-0002-7950-8450; 0000-0002-0243-8263; AAA-8330-2021; AAE-9745-2020In the present paper, we will define the bi-univalent function class S.,mu S ( p, q) related to the ( p, q)-Chebyshev polynomials. Then we will derive the ( p, q)-Chebyshev polynomial bounds for the initial coefficients and determine Fekete-Szego functional for f. S.,mu S ( p, q).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 Coefficient estimates and fekete-szego inequality for a class of analytic functions satisfying subordinate condition associated with chebyshev polynomials(Sciendo, 2019-12-01) Szatmari, Eszter; Altınkaya, Şahsene; ALTINKAYA, ŞAHSENE; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-7950-8450; AAA-8330-2021In this paper, we define a class of analytic functions, F(H, alpha, delta, mu), satisfying the following condition(alpha[zf'(z)/f(z)](delta) + (1-alpha) [zf'(z)/f(z)](mu)[1+zf ''(z)/f'(z)](1-mu)) (sic) H(z, t),where alpha is an element of [0, 1], delta is an element of [1, 2] and mu is an element of [0, 1].We give coefficient estimates and Fekete-Szego inequality for this class.Publication Certain subclasses of harmonic univalent functions defined by subordination(Southeast Asian Mathematical Soc-seams, 2020-01-01) Çakmak, Serkan; Yalçın, S.; YALÇIN TOKGÖZ, SİBEL; Altınkaya, Şahsene; ALTINKAYA, ŞAHSENE; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-0243-8263; 0000-0002-7950-8450; GZG-2072-2022; AAA-8330-2021; AAE-9745-2020In this article, we consider some results involving the modified Salagean operator. We give coefficient bounds for these subclasses. Moreover, we discuss necessary and sufficient convolution conditions, distortion bounds, compactness and extreme points for these subclasses of functions.