• 제목/요약/키워드: special functions

검색결과 851건 처리시간 0.027초

Serine Proteases of Parasitic Helminths

  • Yang, Yong;Wen, Yun jun;Cai, Ya Nan;Vallee, Isabelle;Boireau, Pascal;Liu, Ming Yuan;Cheng, Shi Peng
    • Parasites, Hosts and Diseases
    • /
    • 제53권1호
    • /
    • pp.1-11
    • /
    • 2015
  • Serine proteases form one of the most important families of enzymes and perform significant functions in a broad range of biological processes, such as intra- and extracellular protein metabolism, digestion, blood coagulation, regulation of development, and fertilization. A number of serine proteases have been identified in parasitic helminths that have putative roles in parasite development and nutrition, host tissues and cell invasion, anticoagulation, and immune evasion. In this review, we described the serine proteases that have been identified in parasitic helminths, including nematodes (Trichinella spiralis, T. pseudospiralis, Trichuris muris, Anisakis simplex, Ascaris suum, Onchocerca volvulus, O. lienalis, Brugia malayi, Ancylostoma caninum, and Steinernema carpocapsae), cestodes (Spirometra mansoni, Echinococcus granulosus, and Schistocephalus solidus), and trematodes (Fasciola hepatica, F. gigantica, and Schistosoma mansoni). Moreover, the possible biological functions of these serine proteases in the endogenous biological phenomena of these parasites and in the host-parasite interaction were also discussed.

ON GENERALIZED ZERO-DIFFERENCE BALANCED FUNCTIONS

  • Jiang, Lin;Liao, Qunying
    • 대한수학회논문집
    • /
    • 제31권1호
    • /
    • pp.41-52
    • /
    • 2016
  • In the present paper, by generalizing the definition of the zero-difference balanced (ZDB) function to be the G-ZDB function, several classes of G-ZDB functions are constructed based on properties of cyclotomic numbers. Furthermore, some special constant composition codes are obtained directly from G-ZDB functions.

A DIOPHANTINE CONSTRUCTION OF AN EXACT ALGEBRAIC FORMULA FOR GRADED PARTITION FUNCTIONS

  • Soh, Sun-T.
    • 대한수학회지
    • /
    • 제36권2호
    • /
    • pp.267-298
    • /
    • 1999
  • A geometric construction of an exact algebraic formula for graded partition functions, of which a special one is the classical unrestricted partition function p(n), from a diophantine point of view is presented. Moreover, the involved process allows us to compute the value of a graded partition function in an inductive manner with a geometrically built-in self-error-checking ability at each step for correctness of the computed values of the partition function under consideration.

  • PDF

NEIGHBORHOODS OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Darwish, Hanan E.;Aouf, Mohamed K.
    • 대한수학회보
    • /
    • 제48권4호
    • /
    • pp.689-695
    • /
    • 2011
  • The main object of this paper is to prove several inclusion relations associated with (j, ${\delta}$)-neighborhoods of various subclasses defined by Salagean operator by making use of the familiar concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.

A Note on Multidimensional Fractional Calculus Operators Involving Gauss Hypergeometric Functions

  • Raina, R.K.;Chhajed, Pramod kr.
    • Kyungpook Mathematical Journal
    • /
    • 제45권1호
    • /
    • pp.1-11
    • /
    • 2005
  • Making use of the multidimensional fractional calculus operators introduced in [20], this paper gives the images under these operators of the celebrated Fox's H-function. Special cases are briefly point out, and some of the results are also studied on general spaces of functions $M_{\lambda}(R_{+}^n)$.

  • PDF

CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS USING y-COORDINATES OF ELLIPTIC CURVES

  • Koo, Ja Kyung;Shin, Dong Hwa
    • 대한수학회지
    • /
    • 제50권4호
    • /
    • pp.847-864
    • /
    • 2013
  • By a change of variables we obtain new $y$-coordinates of elliptic curves. Utilizing these $y$-coordinates as meromorphic modular functions, together with the elliptic modular function, we generate the fields of meromorphic modular functions. Furthermore, by means of the special values of the $y$-coordinates, we construct the ray class fields over imaginary quadratic fields as well as normal bases of these ray class fields.

EVALUATION OF A NEW CLASS OF DOUBLE DEFINITE INTEGRALS

  • Gaboury, Sebastien;Rathie, Arjun Kumar
    • 대한수학회논문집
    • /
    • 제32권4호
    • /
    • pp.979-990
    • /
    • 2017
  • Inspired by the results obtained by Brychkov ([2]), the authors evaluate a large number of new and interesting double definite integrals. The results are obtained with the use of classical hypergeometric summation theorems and a well-known double finite integral due to Edwards ([3]). The results are given in terms of Psi and Hurwitz zeta functions suitable for numerical computations.

A DEFINITE INTEGRAL FORMULA

  • Choi, Junesang
    • East Asian mathematical journal
    • /
    • 제29권5호
    • /
    • pp.545-550
    • /
    • 2013
  • A remarkably large number of integral formulas have been investigated and developed. Certain large number of integral formulas are expressed as derivatives of some known functions. Here we choose to recall such a formula to present explicit expressions in terms of Gamma function, Psi function and Polygamma functions. Some simple interesting special cases of our main formulas are also considered. It is also pointed out that the same argument can establish explicit integral formulas for other those expressed in terms of derivatives of some known functions.

DOUBLE INTEGRALS INVOLVING PRODUCT OF TWO GENERALIZED HYPERGEOMETRIC FUNCTIONS

  • Kim, Joohyung;Kim, Insuk
    • 호남수학학술지
    • /
    • 제43권1호
    • /
    • pp.26-34
    • /
    • 2021
  • In this paper two interesting double integrals involving product of two generalized hypergeometric functions have been evaluated in terms of gamma function. The results are derived with the help of known integrals involving hypergeometric functions recorded in the paper of Rathie et al. [6]. We also give several very interesting special cases.

LAZHAR TYPE INEQUALITIES FOR p-CONVEX FUNCTIONS

  • Toplu, Tekin;Iscan, Imdat;Maden, Selahattin
    • 호남수학학술지
    • /
    • 제44권3호
    • /
    • pp.360-369
    • /
    • 2022
  • The aim of this study is to establish some new Jensen and Lazhar type inequalities for p-convex function that is a generalization of convex and harmonic convex functions. The results obtained here are reduced to the results obtained earlier in the literature for convex and harmonic convex functions in special cases.