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HONAM MATHEMATICAL JOURNAL

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수록정보
수록범위 : 1권1호(1979)~43권2호(2021) |수록논문 수 : 1,337
호남수학학술지
43권2호(2021년 06월) 수록논문
최근 권호 논문
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KCI등재

1CERTAIN k-FRACTIONAL CALCULUS OPERATORS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION

저자 : P. Agarwal , D. L. Suthar , Hagos Tadesse , Haile Habenom

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 167-181 (15 pages)

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In this paper, the Saigo's k-fractional integral and derivative operators involving k-hypergeometric function in the kernel are applied to the generalized k-Bessel function; results are expressed in term of k- Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Bessel functions are considered.

KCI등재

2AN EXTENSION OF THE BETA FUNCTION EXPRESSED AS A COMBINATION OF CONFLUENT HYPERGEOMETRIC FUNCTIONS

저자 : Olivier Marfaing

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 183-197 (15 pages)

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Recently several authors have extended the Beta function by using its integral representation. However, in many cases no expression of these extended functions in terms of classic special functions is known. In the present paper, we introduce a further extension by defining a family of functions Gr,s : R* + → C, with r, s ∈ C and ℜ(r) > 0. For given r, s, we prove that this function satisfies a second-order linear differential equation with rational coefficients. Solving this ODE, we express Gr,s as a combination of confluent hypergeometric functions. From this we deduce a new integral relation satisfied by Tricomi's function. We then investigate additional specific properties of Gr,1 which take the form of new non trivial integral relations involving exponential and error functions. We discuss the connection between Gr,1 and Stokes' first problem (or Rayleigh problem) in fluid mechanics which consists in determining the flow created by the movement of an infinitely long plate. For r ∈ 1/2N*, we find additional relations between Gr,1 and Hermite polynomials. In view of these results, we believe the family of extended beta functions Gr,s will find further applications in two directions: (i) for improving our knowledge of confluent hypergeometric functions and Tricomi's function, (ii) and for engineering and physics problems.

KCI등재

3e-SYMMETRIC MODULES

저자 : Hanan Abd-elmalk

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 199-207 (9 pages)

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In this paper we introduce two classes of modules namely e-symmetric and e-reduced. Also, we study the characterizations of e-symmetric and e-reduced modules and their related properties.

KCI등재

4A REMARK ON WEAK MODULE-AMENABILITY IN BANACH ALGEBRAS

저자 : Alireza Kamel Mirmostafaee , Omid Pourbahri Rahpeyma

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 209-219 (11 pages)

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We define a new concept of module amenability which is compatible with original definition of amenability. For a module dual algebra A, we will show that if every module derivation D : A** → JA**  is inner then A is weak module amenable. Moreover, we will prove that under certain conditions, weak module amenability of A** implies weak module amenability of A.

KCI등재

5MODULAR TRANSFORMATION FORMULAE COMING FROM GENERALIZED NON-HOLOMORPHIC EISENSTEIN SERIES AND INFINITE SERIES IDENTITIES

저자 : Sung Geun Lim

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 221-237 (17 pages)

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B. C. Berndt has found modular transformation formulae for a large class of functions coming from generalized Eisenstein series. Using those formulae, he established a lot of infinite series identities, some of which explain many infinite series identities given by Ramanujan. Continuing his work, the author proved a lot of new infinite series identities. Moreover, recently the author found transformation formulae for a class of functions coming from generalized non-holomorphic Eisenstein series. In this paper, using those formulae, we evaluate a few new infinite series identities which generalize the author's previous results.

KCI등재

6SLANT LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS

저자 : Tejinder Kumar , Sangeet Kumar , Pankaj Kumar

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 239-258 (20 pages)

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In the present paper, we introduce the study of slant lightlike submanifolds of indefinite nearly Kaehler manifolds. After proving some geometric results for the existence of slant lightlike submanifolds of indefinite nearly Kaehler manifolds, we give a non-trivial example of this class of lightlike submanifolds. Then, we derive some conditions for the integrability of the distributions associated with slant lightlike submanifolds of indefinite nearly Kaehler manifolds. Consequently, we study totally umbilical slant lightlike submanifolds of indefinite nearly Kaehler manifolds. Subsequently, we investigate minimal slant lightlike submanifolds of indefinite nearly Kaehler manifolds.

KCI등재

7FOURIER SERIES OF A DEVIL'S STAIRCASE

저자 : Doyong Kwon

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 259-267 (9 pages)

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Given β > 1, we consider real numbers whose β-expansions are Sturmian words. When the slope of Sturmian words varies, their behaviors have been well studied from analytical point of view. The regularity enables us to find the Fourier series expansion, while the singularity at rational slopes yields a new kind of trigonometric series representing π.

KCI등재

8COUPLED FIXED POINT THEOREMS OF SOME CONTRACTION MAPS OF INTEGRAL TYPE ON CONE METRIC SPACES OVER BANACH ALGEBRAS

저자 : Hudson Akewe , Joshua Olilima , Adesanmi Mogbademu

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 269-287 (19 pages)

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In this paper, we prove some coupled fixed point theorems satisfying some generalized contractive condition in a cone metric space over a Banach algebra. We also applied the results obtained to show coupled fixed point of some contractive mapping of integral type.

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9AN OPTIMAL INEQUALITY FOR WARPED PRODUCT LIGHTLIKE SUBMANIFOLDS

저자 : Sangeet Kumar , Megha Pruthi

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 289-304 (16 pages)

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In this paper, we establish several geometric characterizations focusing on the relationship between the squared norm of the second fundamental form and the warping function of SCR-lightlike warped product submanifolds in an indefinite Kaehler manifold. In particular, we find an estimate for the squared norm of the second fundamental form h in terms of the Hessian of the warping function λ for SCR-lightlike warped product submanifolds of an indefinite complex space form. Consequently, we derive an optimal inequality, namely
||h||2 ≥ 2q{Δ(lnλ) + ||∇(lnλ)||2 + c 2 p},
for SCR-lightlike warped product submanifolds in an indefinite complex space form. We also provide one non-trivial example for this class of warped products in an indefinite Kaehler manifold.

KCI등재

10COINCIDENCE POINT RESULTS FOR (ϕ, ψ)-WEAK CONTRACTIVE MAPPINGS IN CONE 2-METRIC SPACES

저자 : Ziaul Islam , Muhammad Sarwar , Cemil Tunç

발행기관 : 호남수학회 간행물 : 호남수학학술지 43권 2호 발행 연도 : 2021 페이지 : pp. 305-323 (19 pages)

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In the present paper, utilizing (ϕ, ψ)-weak contractive conditions, unique fixed point and some coincidence point results have been studied in the context of cone 2- metric spaces. Also, our obtained results generalize some results from cone metric space to cone 2-metric space. For the authenticity of the presented work, a non trivial example is also provided.

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강원대학교 삼척캠퍼스 University of Kansas 공주대학교 부경대학교 대진대학교
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  • 1 강원대학교 삼척캠퍼스 (10건)
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