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Muhammet KAMALİ
Anarkül URDALETOVAFaculty / Institute [1]
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Subject Headings [12]
- coefficient estimates 2
- analytic functions 1
- basic or quantum (or q-) calculus and its so-called trivially inconsequential (p,q)-variation 1
- bell numbers 1
- bi-univalent function 1
- fekete-szego functional 1
- gegenbauer (or ultraspherical) polynomials 1
- horadam and related polynomials 1
- legendre and chebyshev polynomials 1
- principle of subordination 1
- q-srivastava attiya operator 1
- univalent functions 1 More less
Muhammet KAMALİ | Anarkül URDALETOVA
Article | 2022 | AIMS Mathematics7 ( 2 )
In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by F-(beta,gamma())(alpha, delta, mu, H(z, C-n((lambda)) (t) )), satisfying the following subordination condition and associated with the Gegenbauer (or ultraspherical) polynomials C-n((lambda))(t) of order lambda and degree n in t: alpha (zG' (z)/G (z))(delta) + (1 - alpha) (alpha(zG' (z)/G (z))(mu) (1 + alpha(zG' (z)/G' (z))delta)(1-mu) < H(z, C-n((lambda)) (t) ), where H(z,C-n(()lambda) (t) ) = Sigma(infinity)(n=0) C-n(()lambda) (t) zn = (1 - 2tz + z(2))(-lambda), G(z) = gamma beta z(2) f" (z) + (gamma - beta) zf' (z) + (1 - gamma + bet . . .a) f (z),. 0 More less
Muhammet KAMALİ
Article | 2020 | AIMS Mathematics5 ( 6 )
In the present study, we introduced general a subclass of bi-univalent functions by using the Bell numbers and q-Srivastava Attiya operator. Also, we investigate coefficient estimates and famous Fekete-Szego inequality for functions belonging to this interesting class.
