[PDF] Top 20 Some properties of linear operators defined by hypergeometric functions

... Key words : Fractional derivative; α-logarithmic Bloch spaces; nontangential limits; Pochhammer symbol; uniformly locally univalent... For simplicity, the space Blog,1 will be denoted by[r] ... See full document

... a linear operator acting on hypergeometric ...univalent functions, the readers can refer to the works of Carlson and Shaffer 8, Merkes and Scott 9, and Ruscheweyh and Singh ... See full document

... a linear operator L µ : A → A defined by the convolution f µ ∗f , where f µ = (1 − µ)z 2 F 1 (a, b, c;z) + µz(z 2 F 1 (a, b, c;z)) ...normalized functions f which are analytic in the open unit disk and ... See full document

... tions defined by power series with real coefficients and both of them convergent on the open disk D (0, R) ⊂ C , R > ...bounded linear operator on the Hilbert space H and z, u ∈ C with the property ... See full document

... we defined a new subclass of univalent functions normalized with finitely many fixed ...Certain properties of the defined subclass of univalent functions like coefficients ... See full document

... Ponnusamy, “Univalence and starlikeness of certain transforms defined by convolution of analytic functions,” Journal of Mathematical Analysis and Applications, vol.. Bao, “Some propertie[r] ... See full document

... is a family of linear bounded operators defined on the space of all square integrable functions and is the n- dimensional Euclidean space.. We consider integrodifferential equation[r] ... See full document

... paper some generalizations of Buzano inequality for n-tuples of vectors in inner product spaces are ...bounded linear operators and for functions of normal operators defined by ... See full document

... Here T is a continuous t-norm, i.e. a continuous binary operation on [0, 1] that is commutative, associative, nondecreasing in each variable and has 1 as identity; T ∗ is a continuous t-conorm, namely a continuous binary ... See full document

... discuss some properties of a new class of univalent functions in the unit disk defined by Hohlov operator with application of fractional calculus operators, like , distortion theorem ... See full document

... In this study we investigate some approximation properties of the sequence of positivie linear operators Ln defined by 5 in the space of functions which are continuous on compact subsets [r] ... See full document

... In the present paper, we investigate several distortion inequalities involving fractional calculus, Ruscheweyh derivative, and some well-known integral operators defined on the class Tδ,[r] ... See full document

... This class of functions is denoted by S ∗ p (ρ). It is noted that S ∗ p () = S ∗ p . Let f (z) and g(z) be analytic in E, we say f (z) is subordinate to g(z), written f ≺ g or f (z) ≺ g(z) if there exists a ... See full document

... investigate some inclusion properties of certain classes of analytic functions associated with a family of linear operators which are defined by means of the Hadamard product (or ... See full document

... univalent functions in U see 3–5 and for special choices for the functions φ and ψ involved in these definitions, we can obtain the well-known subclasses of ... See full document

... the hypergeometric function F(a,b;c; z) can be classified into three cases according to whether Re(c− a−b) equals zero, negative, or ...the hypergeometric function F(a,b; c; x) for Re (c − a −b) ≤ 0 near the ... See full document

... and we call it the continuous functional calculus for a self-adjoint operator A. If A is a self-adjoint operator and f is a real valued continuous function on Sp(A), then f (t) ≥ 0 for any t ∈ Sp(A) implies that f (A) ≥ ... See full document

... on some special arrays we obtain some identities concerning the Riemann zeta function and digamma ...proof some new identities, concerning some elementary functions and ... See full document

... Now we introduce the class UST (resp., UCV ) of uniformly starlike (resp., convex) functions. We say [, ] that f ∈ A is in UST (resp., UCV) if for each ξ ∈ U and each circular arc γ in U with center η, the image ... See full document

... The aim of this paper is to construct a class of linear operators in more general condi- tions. The method was inspired by Jakimovski and Leviatan (see [1]). We do not study the convergence of these ... See full document