• 대한수학회보
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• 제51권5호
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• pp.1551-1559
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• 2014

We consider functions that map the open unit disc conformally onto the complement of an unbounded convex set with opening angle ${\pi}{\alpha}$, ${\alpha}{\in}(1,2]$, at infinity. We derive the exact interval for the variability of the real Taylor coefficients of these functions and we prove that the corresponding complex Taylor coefficients of such functions are contained in certain discs lying in the right half plane. In addition, we also determine generalized central functions for the aforesaid class of functions.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제9권1호
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• pp.63-72
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• 2002

An inverse interpolation problem for rational matrix functions with a certain type of symmetricity in zero-pole structure is studied.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제9권1호
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• pp.39-45
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• 2002

In this paper, we study the space of almost continuous functions with the topology of uniform convergence. And we investigate some properties of this space.

• Kyungpook Mathematical Journal
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• 제46권3호
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• pp.437-444
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• 2006

In this paper, we deal with the uniqueness of meromorphic functions concerning one question of Gross (see [5, Question 6]), and obtain some results that are improvements of that of former authors. Moreover, the example shows that the result is sharp.

• Kyungpook Mathematical Journal
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• 제54권4호
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• pp.545-554
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• 2014

We provide a new Ostrowski-type inequality involving functions of two independent variables, as well as some related results.

• Korean Journal of Mathematics
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• 제26권2호
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• pp.167-174
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• 2018

By acting the dihedral group $D_k$ on the set of k-tuple multi-partitions, we introduce k-gonal partitions for all positive integers k. We give generating functions for these new partition functions and investigate their arithmetic properties.

• 대한수학회지
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• 제38권2호
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• pp.349-363
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• 2001

The analytic in mass operator-valued Feynman integral is related to integration with respect to unbounded set functions formed from the semigroup obtained by analytic continuation of the heat semigroup and the spectral measure of multiplication by characteristics functions.

• 대한수학회논문집
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• 제11권1호
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• pp.169-174
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• 1996

Let $C_\alpha$ be the collection of those members of $C[0,1]$ which are H$\ddot{o}lder $\alpha$-continuous functions on [0,1]. In this paper, I will show that $\mu(C_{\frac{1}{2}) = 0$ for Wiener measure $\mu$.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.995-1002
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• 2022

In this paper, we study the uniqueness of meromorphic functions sharing a unique range sets Ignoring multiplicities. This paper improves the result of Pulak sahoo and Anjan Sarkar [15].

• 충청수학회지
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• 제23권3호
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• pp.481-486
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• 2010

In this paper, we introduce the concepts of strongly c-convex( strongly c-concave) function, almost c-convex function on preconvex spaces. We investigate the relationships between such concepts and several types of preconvex sets.