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PHA 자극-DNCB 감작토끼 임파구가 Ehrlich Carcinoma의 피하이식암 성장에 미치는 영향
최준상,이강훈,이재철 최신의학사 1973 最新醫學 Vol.16 No.9
Kim and Kim(1970) in our laboratory reported that the immunotherapy against subaxillary implanted mice of Ehrlich carcinoma with immune lymphocytes from rabbits immunized with live or UV-killed Ehrlich carcinoma showed not only tumor regression but also prolongation of survival of mice bearing tumors. Lee and Kim(1970) also demonstrated lymphocytes from rabbits immunized with the same tumors have a powerful cytocidal effect on target cells in vitro. And they suggested that the immunity of Ehrlich carcinoma is mediated by cell-mediated immune reaction. It is a well known fact that dinitrochlorobenzene (DNCB) induces delayed hypersensitivity and phytohemagglutinin (PHA) stimulates the transformation of small lymphocytes in vitro. And that Brostoff et al. (1969) demonstrated that the lymphocytes that respond to non-specific stimuli such as PHA was almost all thymus-dependent cells (T-lymphocytes) which may produce and secrete a soluble factor that nonspecifically stimulates the transformation of the lymphocytes. We made an attempt to observe the tumoricidal activity of PHA-stimulated thoracic lymphocytes from DNCB-sensitized rabbits by means of administration of them into Ehrlich solid tumor bearing mice. The results were as follows: PHA-stimulated thoracic lymphocytes from DNCB-sensitized rabbits were no effective in tumoricidal activity.
INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HB
최준상,Anvar Hasanov,Mamasali Turaev 한국수학교육학회 2012 純粹 및 應用數學 Vol.19 No.2
While investigating the Lauricella's list of 14 complete second-order hypergeometric series in three variables, Srivastava noticed the existence of three additional complete triple hypergeometric series of the second order, which were denoted by HA, HB and HC. Each of these three triple hypergeometric functions HA, HB and HC has been investigated extensively in many di®erent ways including,for example, in the problem of ¯nding their integral representations of one kind or the other. Here, in this paper, we aim at presenting further integral representations for the Srivatava's triple hypergeometric function HB.
CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION X5
최준상,HASANOV ANVARDJAN,TURAEV MAMASALI 호남수학회 2010 호남수학학술지 Vol.32 No.3
Exton introduced 20 distinct triple hypergeometric func-tions whose names are Xi (i = 1,..., 20) to investigate their twenty Laplace integral representations whose kernels include the conflu-ent hypergeometric functions 0F1, 1F1, a Humbert function ψ2, a Humbert function Φ2. The object of this paper is to present 25 (pre-sumably new) integral representations of Euler types for the Exton hypergeometric function X5 among his twenty Xi (i = 1,..., 20),whose kernels include the Exton function X5 itself, the Exton func-tion X6, the Horn's functions H3 and H4, and the hypergeometric function F = 2F1.
APPELL'S FUNCTION F1 AND EXTON'S TRIPLE HYPERGEOMETRIC FUNCTION X9
최준상,Arjun K. Rathie 한국수학교육학회 2013 純粹 및 應用數學 Vol.20 No.1
In the theory of hypergeometric functions of one or several variables,a remarkable amount of mathematicians's concern has been given to develop their transformation formulas and summation identities. Here we aim at presenting ex-plicit expressions (in a single form) of the following weighted Appell's function F_1:(1 + 2x)^-a (1 + 2z)^-b F1(c, a, b ; 2c + j ;4x/(1 + 2x),4z/(1 + 2z)(j = 0;±1,...,±5)in terms of Exton's triple hypergeometric X_9. The results are derived with the help of generalizations of Kummer's second theorem very recently provided by Kim et al. A large number of very interesting special cases including Exton's result are also given.
Certain new integral formulas involving the generalized Bessel functions
최준상,Praveen Agarwal,Sudha Mathur,Sunil Dutt Purohit 대한수학회 2014 대한수학회보 Vol.51 No.4
A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Also many integral formulas involving various Bessel functions have been pre- sented. Very recently, Choi and Agarwal derived two generalized integral formulas associated with the Bessel function J(z) of the first kind, which are expressed in terms of the generalized (Wright) hypergeometric func- tions. In the present sequel to Choi and Agarwal’s work, here, in this paper, we establish two new integral formulas involving the generalized Bessel functions, which are also expressed in terms of the generalized (Wright) hypergeometric functions. Some interesting special cases of our two main results are presented. We also point out that the results pre- sented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.
CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION X2
최준상,HASANOV ANVARDJAN,TURAEV MAMASALI 한국수학교육학회 2010 純粹 및 應用數學 Vol.17 No.4
Exton [Hypergeometric functions of three variables, J. Indian Acad. Math. 4 (1982), 113{119] introduced 20 distinct triple hypergeometric functions whose names are Xi (i = 1, . . . , 20) to investigate their twenty Laplace integral representations whose kernels include the con°uent hypergeometric functions ₀F₁,₁F₁, a Humbert functionΨ2, a Humbert function Φ2. The object of this paper is to present 16 (presumably new) integral representations of Euler type for the Exton hypergeometric function X₂ among his twenty Xi (i = 1, . . . , 20), whose kernels include the Exton function X₂ itself, the Appell function F₄and the Lauricella function FC.
Further log-sine and log-cosine integrals
최준상 충청수학회 2013 충청수학회지 Vol.26 No.4
Motivated essentially by their potential for applications in a wide range of mathematical and physical problems, the log-sine and log-cosine integrals have been evaluated, in the existing literature on the subject, in many di®erent ways. Very recently,Choi [6] presented explicit evaluations of some families of log-sine and log-cosine integrals by making use of the familiar Beta function. In the present sequel to the investigation [6], we evaluate the log-sine and log-cosine integrals involved in more complicated integrands than those in [6], by also using the Beta function.
최준상,Arjun K. Rathie,Shaloo Malani,Rachana Mathur 한국수학교육학회 2006 純粹 및 應用數學 Vol.13 No.4
In 194, Lavoie et al. have obtained twenty tre interesting resultsclosely related to the clasical Dixon’s theorem on the sum of a 3F2 by making asystematic use of some known relations among contiguous functions. We aim atshowing that hese results can be derived by using the same te chnique developedby Bailey with the help of Gaus’s umation theorem and gene ralized Kumer’stheorem obtained by Lavoie et al..
CERTAIN INTEGRAL REPRESENTATIONS FOR THE RIEMANN ZETA FUNCTION ζ(s) AT POSITIVE INTEGER ARGUMENT
최준상 호남수학회 2013 호남수학학술지 Vol.35 No.4
We aim at presenting certain integral representationsfor the Riemann Zeta function ζ(s) at positive integer argumentsby using some known integral representations of log Γ(1 + z) and(1 + z).
EVALUATION OF CERTAIN ALTERNATING SERIES
최준상 호남수학회 2014 호남수학학술지 Vol.36 No.2
Ever since Euler solved the so-called Basler problem of ζ(2) = Σ∞n=1 1/n2, numerous evaluations of ζ(2n) (n ∈ N) as well as ζ(2) have been presented. Very recently, Ritelli [61] used a double integral to evaluate ζ(2). Modifying mainly Ritelli's double integral, here, we aim at evaluating certain interesting alternating series.