Results 261 to 270 of about 18,500,841 (295)

An improvement of Ozaki’s P-valent conditions

Acta Mathematica Sinica, English Series, 2016
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Nunokawa, Mamoru, Cho, Nak Eun, Kwon, Oh Sang, Sokół, Janusz   +3 more
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The Schwarzian Derivative of a p-Valent Function

Mathematical Notes, 2020
The author shows that a comparison of the capacities of suitable condensers leads to estimates for Schwarzian derivatives \[S_f(z)=\frac{f'''(z)}{f'(z)}-\frac{3}{2}\left(\frac{f''(z)}{f'(z)}\right)^2=6\lim_{\lambda\to z}\left(\frac{f'(z)f'(\lambda)}{(f(z)-f(\lambda))^2}-\frac{1}{(z-\lambda)^2}\right)\] of holomorphic functions in the unit disk \(U=\{z ...
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On certain meromorphic p-valent starlike functions

Journal of the Franklin Institute, 2007
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A generalization on subfamily of p-valent functions with negative coefficients

Applied Mathematics and Computation, 2004
This paper introduces a highly specialized class of multivalent functions. A function \(f(z)\) is defined to be in the class \(P^*_p(\alpha,\beta, \xi,N)\) if \(f(z)\) is analytic and \(p\)-valent in the unit disk \(U\), is of the form \(f(z) = z^p - \sum_{k=p+1}^\infty a_k z^k\) where all \(a_k \geq 0\), and \[ | (D^Nf(z))'z^{1-p} - p^{N+1}| < \beta ...
Kiziltunç, Hükmi, ORHAN, Halit
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Radius of starlikeness of p-valent λ-fractional operator

Applied Mathematics and Computation, 2019
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Melike Aydogan, F. Müge Sakar
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Functions that are mean p-valent with respect to ?-area

Mathematical Notes of the Academy of Sciences of the USSR, 1985
Let f(z) be regular or meromorphic in a domain D and let n(w), \(w=re^{it}\), be the number of roots of the equation \(f(z)=w\), which lie in D. Let us put \[ p(r)=(1/2\pi)\int^{2\pi}_{0}n(re^{it})dt,\quad W_{\mu}(R)=\int^{R}_{0}p(r)d(r^{2\mu}). \] If for some positive numbers p,\(\mu\) we have \(W_{\mu}(R)\leq pR^{2\mu}\) for all \(R>0\), then the ...
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p-valent analytic function with negative coefficients

1989
Let \(f(z)=z^ p-\sum^{\infty}_{n=1}| a_{n+p}| z^{n+p}\) be analytic and p-valent in the unit disc \(E=\{z:\) \(| z|
Murthy, M. R. Krishna, Sarangi, S. M.
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INEQUALITIES FOR MEROMORPHICALLY P-VALENT FUNCTIONS

2009
The aim of this paper is to prove some inequalities for p-valent meromorphic functions in thepunctured unit disk Δ* and find important corollaries.
EBADIAN, A., NAJAFZADEH, SH.
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A New Criterion for p-Valent Functions

Proceedings of the American Mathematical Society, 1980
Goel, R. M., Sohi, N. S.
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On the derivative of bounded \(p\)-valent functions

1960
Artykuł z: Annales Universitatis Mariae Curiae-Skłodowska. Sectio A, Mathematica. Vol. 12 (1958), s. 23-28, streszcz. pol., ros. ; Artykuł z: Annales Universitatis Mariae Curiae-Skłodowska. Sectio A, Mathematica. Vol. 12 (1958), s. 23-28, streszcz. pol., ros.
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