Results 101 to 110 of about 2,822,582 (218)
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
openaire +2 more sources
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
doaj +1 more source
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)≺
openaire +2 more sources
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
doaj +1 more source
Integral operator and starlike functions
Computers & Mathematics with Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
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
openaire +1 more source
Some characterizations of univalent, starlike and convex hypergeometric functions [PDF]
, 2010 E.P. Merkes and W.T. Scott [Proc. Amer. Math. Soc. 12(1961), 885-888] proved an interesting result characterizing starlike hypergeometric functions. More recently, B.C. Carlson and D.B. Shaffer [SIAM J. Math. Anal.
Owa, Shigeyoshi, Srivastava, H.M.
core
On some classes of multivalent starlike functions
, 1975 Classes of multivalent functions analogous to certain classes of univalent starlike functions are defined and studied. Estimates on coefficients and distortion are made, using a variety of techniques.
Ronald J. Leach
core +1 more source
Characterization of p-valent q-starlike functions through Hadamard product and Poisson distribution
Applied Mathematics in Science and EngineeringThis paper presents significant advancement in the study of multivalent functions by introducing three new subclasses of p-valent q-starlike functions, defined with respect to higher-order q-derivatives within the open unit disk of the complex plane ...
Muhammad Uzair Shah +3 more
doaj +1 more source
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
doaj +1 more source