Zobrazeno 1 - 10
of 117
pro vyhledávání: '"Kanas S."'
Publikováno v:
Проблемы анализа, Vol 7, Pp 29-41 (2000)
In this paper we introduce some subclasses of biholomorphic mappings on the unit ball of ℂ n. These mappings called uniformly starlike and uniformly convex are introduced by geometric interpretation, like in the case of one variable.
Externí odkaz:
https://doaj.org/article/39da7fff04f4410d9aa2b8f468f6df51
Autor:
Kanas, S., Masih, V. S.
We find an unifying approach to the analytic representation of the domain bounded by a generalized Pascal snail. Special cases as Pascal snail, Both leminiscate, conchoid of the Sluze and a disc are included. The behavior of functions related to gene
Externí odkaz:
http://arxiv.org/abs/2004.00063
We consider a family of analytic and normalized functions that are related to the domains $\mathbb{H}(s)$, with a right branch of a hyperbolas $H(s)$ as a boundary. The hyperbola $H(s)$ is given by the relation $\frac{1}{\rho}=\left( 2\cos\frac{\varp
Externí odkaz:
http://arxiv.org/abs/2003.12370
The theory of $q$-analogs frequently occurs in a number of areas, including the fractals and dynamical systems. The $q$-derivatives and $q$-integrals play a prominent role in the study of $q$-deformed quantum mechanical simple harmonic oscillator. In
Externí odkaz:
http://arxiv.org/abs/1708.08230
We are interested in finding the sufficient conditions on $A$, $B$, $\lambda$, $b$ and $c$ which ensure that the generalized Bessel functions ${u}_{\lambda}:={u}_{\lambda,b,c}$ satisfies the subordination ${u}_{\lambda}(z) \prec (1+Az)/ (1+Bz)$. Also
Externí odkaz:
http://arxiv.org/abs/1607.02100
We deduce some growth properties of composite entire functions in the light of their relative $(p,q)$\ th order by extending some results of J. Tu, Z. X. Chen and X. M. Zheng.
Externí odkaz:
http://arxiv.org/abs/1607.02105
The error function occurs widely in multiple areas of mathematics, mathematical physics and natural sciences. There has been no work in this area for the past four decades. In this article, we estimate the coefficient bounds with q-difference operato
Externí odkaz:
http://arxiv.org/abs/1607.02101
In this paper we give some sufficient conditions of analyticity and univalence for functions defined by an integral operator. Next, we refine the result to a quasiconformal extension criterion with the help of the Becker's method. Further, new unival
Externí odkaz:
http://arxiv.org/abs/1607.02098
In this paper, we consider the class of strongly bi-close-to-convex functions of order $\alpha$ and bi-close-to-convex functions of order $\beta$. We obtain an upper bound estimate for the second Hankel determinant for functions belonging to these cl
Externí odkaz:
http://arxiv.org/abs/1509.03751
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 June 2019 474(2):931-943