http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Prajapat, Jugal Kishore,Mishra, Ambuj Kumar Department of Mathematics 2017 Kyungpook mathematical journal Vol.57 No.2
Differential subordination and superordination results associated with a generalized Hurwitz-Lerch Zeta function in the open unit disk are obtained by investigating appropriate classes of admissible functions. In particular some inequalities for generalized Hurwitz-Lerch Zeta function are obtained.
SOME RESULTS ON CERTAIN CLASS OF ANALYTIC FUNCTIONS BASED ON DIFFERENTIAL SUBORDINATION
Prajapat, Jugal Kishore,Agarwal, Ritu Korean Mathematical Society 2013 대한수학회보 Vol.50 No.1
In the present paper we derive various useful properties and characteristics for certain class of analytic functions by using the techniques of differential subordination. Some interesting corollaries and applications of the results presented here are also discussed.
Prajapat, J.K.,Raina, R.K. The Youngnam Mathematical Society 2009 East Asian mathematical journal Vol.25 No.2
In this paper a general class of analytic functions involving a convolution structure is introduced. Among the results investigated are the various results depicting useful properties and characteristics of this function class by employing the techniques of differential subordination. Relevances of the main results with some known results are also mentioned briefly.
AVK based Cryptosystem and Recent Directions Towards Cryptanalysis
( Shaligram Prajapat ),( Ashok Sharma ),( Ramjeevan Singh Thakur ) 한국인터넷정보학회 2016 인터넷정보학회논문지 Vol.17 No.5
Cryptanalysis is very important step for auditing and checking strength of any cryptosystem. Some of these cryptosystem ensures confidentiality and security of large information exchange from source to destination using symmetric key cryptography. The cryptanalyst investigates the strengths and identifies weakness key as well as enciphering algorithm. With increase in key size the time and effort required to guess the correct key increases so trend is increase key size from 8, 16, 24, 32, 56, 64, 128 and 256 bits to strengthen the cryptosystem and thus algorithm continues without compromise on the cost of time and computation. Automatic Variable Key (AVK) approach is an alternative to the approach of fixing up key size and adding security level with key variability adds new dimension in the development of secure cryptosystem. Likewise, whenever any new cryptographic method is invented to replace per-existing vulnerable cryptographic method, its deep analysis from all perspectives (Hacker / Cryptanalyst as well as User) is desirable and proper study and evaluation of its performance is must. This work investigates AVK based cryptic techniques, in future to exploit benefits of advances in computational methods like ANN, GA, SI etc. These techniques for cryptanalysis are changing drastically to reduce cryptographic complexity. In this paper a detailed survey and direction of development work has been conducted. The work compares these new methods with state of art approaches and presents future scope and direction from the cryptic mining perspectives.
Some results on certain class of analytic functions based on differential subordination
Jugal Kishore Prajapat,Ritu Agarwal 대한수학회 2013 대한수학회보 Vol.50 No.1
In the present paper we derive various useful properties and \linebreak characteristics for certain class of analytic functions by using the techniques of differential subordination. Some interesting corollaries and applications of the results presented here are also discussed.
J. K. Prajapat,R. K. Raina 영남수학회 2009 East Asian mathematical journal Vol.25 No.2
In this paper a general class of analytic functions involving a convolution structure is introduced. Among the results investigated are the various results depicting useful properties and characteristics of this function class by employing the techniques of differential subordination. Relevances of the main results with some known results are also mentioned briefly.
Hardy Spaces of Certain Convolution Operator
Rajbala, Rajbala,Prajapat, Jugal Kishore Department of Mathematics 2020 Kyungpook mathematical journal Vol.60 No.1
In this article, we determine sufficient conditions on the parameters of a generalized convolution operator to ensure that it belongs to the Hardy space and to the space of bounded analytic functions. We exhibit the utility of these results by deducing several interesting examples.
THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
BANSAL, DEEPAK,MAHARANA, SUDHANANDA,PRAJAPAT, JUGAL KISHORE Korean Mathematical Society 2015 대한수학회지 Vol.52 No.6
The estimate of third Hankel determinant $$H_{3,1}(f)=\left|a_1\;a_2\;a_3\\a_2\;a_3\;a_4\\a_3\;a_4\;a_5\right|$$ of the analytic function $f(z)=z+a2z^2+a3z^3+{\cdots}$, for which ${\Re}(1+zf^{{\prime}{\prime}}(z)/f^{\prime}(z))>-1/2$ are investigated. The corrected version of a known results [2, Theorem 3.1 and Theorem 3.3] are also obtained.