Results 91 to 100 of about 2,697,831 (219)
a*-families of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1984 Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
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Certain classes of starlike functions. [PDF]
Michigan Mathematical Journal, 1985 The author introduces a one parameter family of starlike mappings in the unit disk by proving that if f(z) is analytic in \(| z| 0. \] The proof is based on an extended version of the author's lemma in Trans. Am. Math. Soc. 76, 254-274 (1954; Zbl 0057.311). Some applications are also given.
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Journal of Function SpacesThis article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q ...
Sarem H. Hadi +2 more
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On some starlike and convex functions [PDF]
Transactions of the American Mathematical Society, 1971 In this paper we study functions of the form fo (g(t)/lk1 = 1 (1 tZk)'k) dt for lzl a, O?a 0 for IzI 0 at Ok E [0, 2rr) (k = 1, 2, . . ., n) such that 2n= ?C= 1 (to meet the requirement that a(2rrT)-a(0) = 1), in equation (3), it follows that the function n (4) w = f(z) = z/ I (1-exp [-i61]Z)2aJ is in S. In factf(z) maps the disk D onto the w-plane
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Criteria for Strongly Starlike Functions [PDF]
ISRN Geometry, 2011 Let f(z) be analytic in the unit disk U={z:|z|<1} with f(0)=f'(0)-1=0 and (f(z)/z)f'(z)≠0. By using the method of differential subordinations, we determine the largest number α(β,λ,μ,m) such that, for some β,λ,μ, and m, the differential subordination λzf'(z)/f(z)1-μ1+(zf''(z)/f'(z))-zf'(z)/f(z)+zf'(z)/f(z)m≺1+z/1-zα(β,λ,μ,m)(z∈U) implies zf'(z)/f(z)≺
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Mathematics, 2019 By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U .
Hari M. Srivastava +4 more
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Weakly starlike meromorphic univalent functions. II
, 1977 A function f ( z ) f(z) is said to be meromorphic weakly starlike if it has the form f ( z ) = − ρ z F ( Z ) /
Albert E. Livingston
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On the starlikeness of p-valent functions
TURKISH JOURNAL OF MATHEMATICS, 2019 Summary: For an analytic function in open unit disk \(\mathbb{D}\), we consider the \(p\)-valent analogue of the Noshiro-Warschawski univalence condition. We apply the Fejér-Riesz inequality to establish some sufficient conditions for functions to be \(p\)-valent or to be a Bazilevič function or to be in some other classes.
Mamoru NUNOKAWA +3 more
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On a class of meromorphic p-valent starlike functions involving certain linear operators
International Journal of Mathematics and Mathematical Sciences, 2002 Let ∑p be the class of functions f(z) which are analytic in the punctured disk 𝔼*={z∈ℂ ...
Jin-Lin Liu, Shigeyoshi Owa
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Weakly starlike meromorphic univalent functions
, 1975 A weakly starlike meromorphic univalent function is one of the form f ( z ) = − ρ z g ( z ) [ ( z − ρ ) (
Albert E. Livingston, Richard J. Libera
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