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Do Ngoc Diep, Quantization of fields and automorphic representations, Volume 2017, Number 1, Pages 48-54, 2017

## Do Ngoc Diep, Quantization of fields and automorphic representations, Volume 2017, Number 1, Pages 48-54, 2017

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...

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

## 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 $N_\delta(f)$ for function $f_\gamma\in k$-$T_n^s[A,B]$ whose geometric condition satisfy $R\left(\frac{(B-1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A-1)}{(B+1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A+1)}\right)> k\left|\frac{(B-1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A-1)}{(B+1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A+1)}-1\right|$ where $k\geq 0$, $n\in N_0$, $-1\leq B<A\leq 1$ and $\lim_{s\rightarrow \infty}\gamma(s)=1$ 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

## 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...

S S Thakur and Alpa Singh Rajput, Soft Almost Continuous Mappings, Volume 2017, Number 1, Pages 23-29, 2017

## 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...

Anjana Bhattacharyya, More On Fuzzy Regular Preopen Sets, Volume 2017, Number 1, Pages 9-22, 2017

## 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...

S. Arolkar and Y.S. Valaulikar, On a B-q bonacci Sequence, Volume 2017, Number 1, Pages 1-8, 2017

## 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...