Person: YALÇIN TOKGÖZ, SİBEL
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YALÇIN TOKGÖZ
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SİBEL
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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 New criteria for meromorphic starlikeness and close-to-convexity(Mdpi, 2020-05-01) Ebadian, Ali; Cho, Nak Eun; Adegani, Ebrahim Analouei; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-0243-8263; AAE-9745-2020The main purpose of current paper is to obtain some new criteria for meromorphic strongly starlike functions of order alpha and strongly close-to-convexity of order alpha. Furthermore, the main results presented here are compared with the previous outcomes obtained in this area.Publication A subclass of bi-univalent functions based on the faber polynomial expansions and the fibonacci numbers(Mdpi, 2019-02-01) Altınkaya, Şahsene; Yalçın, Sibel; Çakmak, Serkan; ALTINKAYA, ŞAHSENE; YALÇIN TOKGÖZ, SİBEL; Çakmak, Serkan; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-7950-8450; 0000-0002-0243-8263; 0000-0003-0368-7672; AAE-9745-2020; ABC-6175-2020; GZG-2072-2022; AAA-8330-2021In this investigation, by using the Komatu integral operator, we introduce the new class ( pound eta,rho)(Sigma,t)((rho) over tilde of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general coefficient vertical bar a(n)vertical bar of the bi-univalent function class.Publication Some properties associated to a certain class of starlike functions(Walter, 2019-12-01) Masih, Vali Soltani; Ebadian, Ali; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-0243-8263; AAE-9745-2020; ABC-6175-2020Let A denote the family of analytic functions f with f(0) = f'(0) - 1 = 0, in the open unit disk Delta. We consider a classS-cs(*)(alpha) := {f is an element of A : (zf'(z)/f(z) -1) (sic) z/1+(alpha-1)z-alpha z(2) , z is an element of Delta},where 0 <= alpha <= 1/2, and (sic) is the subordination relation. The methods and techniques of geometric function theory are used to get characteristics of the functions in this class. Further, the sharp inequality for the logarithmic coefficients gamma(n) of f is an element of S-cs(*)(alpha):Sigma(infinity)(n=1) vertical bar gamma n vertical bar(2) <= 1/4(1+alpha)(2) (pi(2)/6 - 2Li(2) (-alpha)+Li-2 (alpha(2))),where Li-2 denotes the dilogarithm function are investigated.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 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 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 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.Publication Certain geometric properties of modified lommel functions(Honam Mathematical, 2020-12-01) Din, Muhey U.; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-0243-8263; AAE-9745-2020In this article, we find some sufficient conditions under which the modified Lommel function is close-to-convex with respect to-log(1-z) and 1/2 log (1+z/1-z). Starlikeness, convexity and uniformly close-to-convexity of the modified Lommel function are also discussed. Some results related to the H. Silverman are also the part of our investigation.Publication Coefficient estimates for certain subclasses of analytic functions defined by new operator(Amer Inst Physics, 2021-01-01) Cakalli, H; Kocinac, LDR; Ashyralyev, A; Harte, R; Dik, M; Canak, I; Kandemir, HS; Tez, M; Gurtug, O; Savas, E; Akay, KU; Ucgun, FC; Uyaver, S; Ashyralyyev, C; Sezer, SA; Turkoglu, AD; Onvural, OR; Sahin, H; Bayram, Hasan; BAYRAM, HASAN; Yalcin, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; Cakalli, H; Kocinac, LDR; Ashyralyev, A; Harte, R; Dik, M; Canak, I; Kandemir, HS; Tez, M; Gurtug, O; Savas, E; Akay, KU; Ucgun, FC; Uyaver, S; Ashyralyyev, C; Sezer, SA; Turkoglu, AD; Onvural, OR; Sahin, H; 0000-0001-8106-6834; 0000-0002-0243-8263; B-1379-2014; AAE-9745-2020In this paper, we investigate certain subclasses of analytic functions defined by generalized differential operators involving binomial series. Also, we obtain coefficient estimates involving of the nonhomogeneous Cauchy-Euler differential equation of order r.
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