• Bulletin of the Korean Mathematical Society
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• v.53 no.6
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• pp.1845-1856
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• 2016

In this paper our aim is to study the classical Bessel-Struve kernel. Monotonicity and log-convexity properties for the Bessel-Struve kernel, and the ratio of the Bessel-Struve kernel and the Kummer confluent hypergeometric function are investigated. Moreover, lower and upper bounds are given for the Bessel-Struve kernel in terms of the exponential function and some $Tur{\acute{a}}n$ type inequalities are deduced.

• Communications of the Korean Mathematical Society
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• v.33 no.2
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• pp.445-458
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• 2018

In this article we study the inclusion properties of the Bessel-Struve kernel functions in the Janowski class. In particular, we find the conditions for which the Bessel-Struve kernel functions maps the unit disk to right half plane. Some open problems with this aspect are also given. The third order differential subordination involving the Bessel-Struve kernel is also considered. The results are derived by defining suitable classes of admissible functions. One of the recurrence relation of the Bessel-Struve kernel play an important role to derive the main results.

• Journal of the Korean Mathematical Society
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• v.54 no.2
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• pp.575-598
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• 2017

This paper introduces and studies a generalization of the classical Struve function of order p given by $$_aS_{p,c}(x):=\sum\limits_{k=0}^{\infty}\frac{(-c)^k}{{\Gamma}(ak+p+\frac{3}{2}){\Gamma}(k+\frac{3}{2})}(\frac{x}{2})^{2k+p+1}$$. Representation formulae are derived for $_aS_{p,c}$. Further the function $_aS_{p,c}$ is shown to be a solution of an (a + 1)-order differential equation. Monotonicity and log-convexity properties for the generalized Struve function $_aS_{p,c}$ are investigated, particulary for the case c = -1. As a consequence, $Tur{\acute{a}}n$-type inequalities are established. For a = 2 and c = -1, dominant and subordinant functions are obtained for the Struve function $_2S_{p,-1}$.

• Communications of the Korean Mathematical Society
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• v.32 no.4
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• pp.875-883
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• 2017

In this work, we establish Heisenberg-type uncertainty principle for the Bessel-Struve Fock space ${\mathbb{F}}_{\nu}$ associated to the Airy operator $L_{\nu}$. Next, we give an application of the theory of extremal function and reproducing kernel of Hilbert space, to establish the extremal function associated to a bounded linear operator $T:{\mathbb{F}}_{\nu}{\rightarrow}H$, where H be a Hilbert space. Furthermore, we come up with some results regarding the extremal functions, when T are difference operators.

• Journal of The Korean Astronomical Society
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• v.29 no.spc1
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• pp.427-428
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• 1996

The Struve astrometric satellite which is being developed at Pulkovo Observatory in cooperation with Krasno-yarsk Institute of Applied Mechanics, S.I. Vavilov's State Optical Institute and some others space instrumentation institutes, will produce observations of a second epoch for the Hipparcos stars. The project is devoted to maintaining the Hipparcos coordinate system as well as extending it to a density of $\approx$ 100 stars per square degree. Possibilities of submilliarcsecond accuracy of observations with single aperture on-board telescopes are discussed. Requirements to the optical scheme and to the dynamic properties of the spacecraft are formulated. CCD and microchannel plates are discussed as a focal assembly detectors.

• Honam Mathematical Journal
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• v.41 no.1
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• pp.163-174
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• 2019

The veritable pursuit of this exegesis is to exhibit integrals affined with the Bessel-Struve kernel function, which are explicitly inscribed in terms of generalized (Wright) hypergeometric function and also the product of generalized (Wright) hypergeometric function with sum of two confluent hypergeometric functions. Somewhat integrals involving exponential functions, modified Bessel functions and Struve functions of order zero and one are also obtained as special cases of our chief results.

• Honam Mathematical Journal
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• v.45 no.4
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• pp.682-688
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• 2023

The main object of this paper is to establish twenty definite integrals involving Struve functions and modified Srtuve functions associated with hypergeometric functions, which are presumably new and not present in the scientific literature.

• The Bulletin of The Korean Astronomical Society
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• v.36 no.2
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• pp.132.1-132.1
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• 2011

2.1m Otto Struve 망원경은 미국 McDonald 천문대에 있는 광학망원경으로, 초기우주천체 연구단은 현재 카세그레인 초점에 CQUEAN(Camera for QUasars in EArly uNiverse) 시스템을 부착하여 장기 관측 과제를 수행 중이다. 향후 주 초점을 이용한 관측에 대비하여 본 연구에서는 2.1m Otto Struve 망원경의 파인더에 FLI 4K CCD를 부착하여 자동조준 시스템 테스트를 수행하였다. 파인더 망원경의 제원은 구경 254mm, 초점거리 3038mm이며, FLI 4K CCD의 제원은 해상도 $4096{\times}4096$ 화소, 화소 크기 $9{\mu}m{\times}9{\mu}m$로서, 파인더 망원경 초점면에서 픽셀스케일 0.61"/pixel, 시야 $41.6'{\times}41.6'$이다. 자동조준 소프트웨어는 McDonald 천문대의 agdr-1.14를 사용하였다. 자동조준 카메라(4K CCD)의 영상을 통해 파인더 망원경에서의 시야와 한계등급을 구하였다. 여러 방향으로 망원경을 조준하여 2.1m 망원경에 부착된 CQUEAN과 파인더 망원경에 부착된 4K CCD 각각에서 영상을 얻고, 이들의 중심좌표를 비교함으로써 중력에 의한 망원경의 휨 효과를 조사하였다. 더하여 자동조준 설정을 바꿔가며 CQUEAN으로 NGC 6633의 장기 노출 영상을 얻고, 이들 영상에서 별 모양 특성을 분석하여 각각의 조건에서 자동조준 시스템의 성능을 조사하였다. 이상의 연구결과를 토대로 2.1m Otto Struve 망원경의 주 초점 관측 시 파인더 망원경을 이용한 자동조준장치 시스템 활용에 대해 제언하고자 한다.

• Kyungpook Mathematical Journal
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• v.59 no.4
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• pp.725-734
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• 2019

The aim of this paper is to establish two general finite integral formulas involving the product of Galué type Struve functions and Srivastava's polynomials. The results are given in terms of generalized (Wright's) hypergeometric functions. These results are obtained with the help of finite integrals due to Oberhettinger and Lavoie-Trottier. Some interesting special cases of the main results are also considered. The results presented here are of general character and easily reducible to new and known integral formulae.

• Kyungpook Mathematical Journal
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• v.56 no.4
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• pp.1169-1177
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• 2016

This paper is devoted to the study of Mellin, Laplace, Euler and Whittaker transforms involving Struve function, generalized Wright function and Fox's H-function. The main results are presented in the form of four theorems. On account of the general nature of the functions involved here in, the main results obtained here yield a large number of known and new results in terms of simpler functions as their special cases. For the sake of illustration some corollaries have been recorded here as special cases of our main findings.