Abstract: In this paper we use the quantization of fields based on Geometric Langlands Correspondence \cite{diep1} to realize the automorphic representations of some concrete series of groups: for the affine Heisenberg (loop) groups it is reduced to the construction of the affine Kac-Moody representation by the Weyl relations in Fock spaces. For the solvable and nilpotent […]
S.O. Olatunji and E.J. Dansu, On neighbourhoods of analytic functions defined by using modified sigmoid function associated with conic domain, Volume 2017, Number 1, Pages 41-47, 2017
Abstract: The neighbourhood of for function - whose geometric condition satisfy where , , and is considered. Key words: Starlike Function; Convex Function; Analytic Function; Modified Sigmoid Function; Conic Domain. Full text: PDF Full file: XML
P Sumati Kumari, A H Ansari and M Sarwar, On b-dislocated quasi-metric space, Volume 2017, Number 1, Pages 30-40, 2017
Abstract: The purpose of this work is to study topological properties of b-dislocated quasi-metric space and derive some fixed point theorems. Moreover, few examples are given to illustrate the usability of the obtained results. Key words: $b$-dislocated quasi-metric space, Zamfirescu contraction and $s-z$ quasi-contraction. Full text: PDF Full Text: XML
S S Thakur and Alpa Singh Rajput, Soft Almost Continuous Mappings, Volume 2017, Number 1, Pages 23-29, 2017
Abstract: In this paper the concept of soft almost continuous mappings and soft almost open mappings in soft topological spaces have been introduced and studied. Key words: Soft open sets, Soft weakly continuous mappings, Soft almost continuous mappings and Soft almost open mappings. Full Text: PDF Full file: XML
Anjana Bhattacharyya, More On Fuzzy Regular Preopen Sets, Volume 2017, Number 1, Pages 9-22, 2017
Abstract: In this paper we have first introduced fuzzy $p$-closed and fuzzy regular $p$-closed spaces and then characterized these two concepts in several ways. Afterwards, we have introduced two new concepts of fuzzy cover, viz., fuzzy $p$-cover and fuzzy regular $p$-cover respectively and characterized fuzzy $p$-closed and fuzzy regular $p$-closed spaces via these two new […]
S. Arolkar and Y.S. Valaulikar, On a B-q bonacci Sequence, Volume 2017, Number 1, Pages 1-8, 2017
Abstract: In this paper $q^{th}$ order linear recurrence relation is defined. This new sequence is an extension of Fibonacci sequence in such a way that the coefficients of the terms on the right hand side of its recurrence relation, are terms of the binomial expansion of $(a + b) ^{q−1}$ . Some properties of this […]