Browsing by Author "Pravati Sahoo"
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PublicationConference Paper A survey on some special classes of Bazilevič functions and related function classes(Springer International Publishing, 2014) Pravati Sahoo; R.N. Mohapatra[No abstract available]PublicationArticle On a class of analytic functions defined by an integral operator(Hindawi Publishing Corporation, 2013) Pravati Sahoo; Saumya SinghWe define a new subclass M (λ μ, α, β) by using an integral operator Q λμ f (z). We find a coefficient inequality and using that we derive many sharp results. These results generalize many results which are existing in the literature. © 2013 Pravati Sahoo and Saumya Singh.PublicationArticle On a class of harmonic univalent functions defined by a linear operator(2010) Pravati Sahoo; Saumya SinghLet SH denote the class of functions f = h + ḡ which are harmonic, univalent and sense preserving in the unit disc Δ. We define a new subclass SHL(α, ß) by using a linear operator of harmonic univalent functions. In this paper, coefficient bounds, distortion bounds and extreme points are obtained. © 2010 Academic Publications.PublicationArticle On a generalized subclass of analytic and bi-univalent functions(International Publications, 2017) Pravati Sahoo; Saumya Singh; R.N. MohapatraIn the present paper, we introduce and investigate a new generalized subclass BSh,p(?, µ) of bi-univalent analytic functions in the unit disk U. For functions belonging to the class BSh,p(?, µ), we obtain estimates on the first three Taylor-Maclaurin coefficients |a2|, |a3| and |a4| of f(z), which generalizes some existing results.PublicationArticle On the third hankel determinant for a subclass of close-to-convex functions(Yarmouk University, 2019) Pravati SahooLet A denote the class of all normalized analytic function f in the unit disc U of the form (Formula presented.). The object of this paper is to obtain a bound to the third Hankel determinant denoted by H 3 (1) for a subclass of close-to-convex functions. Copyright © Deanship of Research and Graduate Studies, Yarmouk University, Irbid, Jordan.PublicationArticle Some subordination properties of generalized Jung-Kim-Srivastava integral operator(2011) Pravati Sahoo; Saumya SinghThe object of this paper is to discuss some interesting properties of the integral operator Pγ f (z) = (p+1) α/ zÃ(α ) ∫ z 0(log z/t) α-1 f (t)dt, (α > 0), for the class of all analytic functions f (z) of the form f (z) = z+∑∞ n= p+1 αnzn , for z ε δ= {z ε C : |z| < 1}. For p = 1, this integral operator was introduced and studied by Jung, Kim and Srivastava in [2]. © Element, Zagreb.PublicationArticle Starlikeness conditions for an integral operator(2009) Pravati Sahoo; Saumya SinghLet for fixed n ∈ N, σn denotes the class of function of the following form, which are analytic in the punctured open unit disk δ * = {z ∈ c: 0<|z|<1}. In the present paper we defined and studied an operator in for f ∈ σn and c1 - > 0. © 2009 Victoria University. All rights reserved.PublicationArticle Upper bounds of Toeplitz determinants for a subclass of alpha-close-to-convex functions(SINUS Association, 2022) Anand Kumar Jha; Pravati SahooLet A be the class of analytic functions in the unit disc U which are of the form (Formula Presented). For 0 ≤ α < 1, let Cα, be the class of all functions f ∈ A satisfying the condition Re{f′ (z) + αzf′′ (z)} > 0. We consider the Toeplitz matrices whose elements are the coefficients an of the function f in the class Cα. In this paper we obtain upper bounds for the Toeplitz determinants. © 2022, SINUS Association. All rights reserved.