• 대한수학회보
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• 제26권2호
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• pp.151-158
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• 1989

Let (H, B, .nu.) be an abstract Wiener space where H is a separable Hilbert space with the inner product <.,.> and the norm vertical bar . vertical bar=.root.<.,.>, which is densely and continuously imbedded into a separable Banach space B with the norm ∥.∥ , and .nu. is a probability measure on the Borel .sigma.-algebra B(B) of B which satisfies (Fig.) where $B^{*}$ is the topological dual of B and (.,.) is the natural dual pairing between B and $B^{*}$. We will regard $B^{*}$.contnd.H.contnd.B in the natural way. Thus we have =(y, x) for all y in $B^{*}$ and x in H. Let $R^{n}$ and C denote the n-dimensional Euclidean space and the complex numbers respectively.ctively.

• 대한수학회논문집
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• 제32권1호
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• pp.29-38
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• 2017

The main objective of this paper is to establish certain unified integral formula involving the product of the generalized Mittag-Leffler type function $E^{({\gamma}_j),(l_j)}_{({\rho}_j),{\lambda}}[z_1,{\ldots},z_r]$ and the Srivastava's polynomials $S^m_n[x]$. We also show how the main result here is general by demonstrating some interesting special cases.

• 대한수학회논문집
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• 제33권2호
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• pp.423-436
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• 2018

We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.

• 한국해안해양공학회지
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• 제2권4호
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• pp.190-199
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• 1990

3층 구조를 갖는 대륙붕 외해역에서의 취역류 예측을 위한 Galerkin 해를 Eigenfunction 전개를 통해 유도하였다. 수심변화를 결정짖는 연식난류확산 계수가 층간에 불연속적으로 변화토록 정의되므로 내적분 정의시 층별적분이 등장한다. Eigenfunction 및 Eigenvalue 산출을 위해 B-spline 함수전개가 이용되는데 정확한 계산을 위해서는 난류활동이 극도로 저하되는 Pycnocline 내에 많은 Knot들을 배정함이 필요한 것으로 나타났다. 비록 Eigenfunction이 층간에 급격한 변화를 가지나 여전히 해수표면부터 해저편간의 전 구간에 걸쳐 정의되는 연속함수이므로 Gibbs 효과에 따른 해의 진동현상이 표층하, 특히 Pycnocline 내에서 출현하였다.