In the present paper, for a positive integer $r$, we study bi-periodic $r$-Fibonacci sequence and its family of companion sequences, $r$-Lucas type $s$ with $1 \leq s r$, which extend classical Fibonacci Lucas sequences. Afterwards, establish link between Furthermore, give their properties as linear recurrence relations, generating functions, explicit formulas Binet forms.

Let R be a commutative Noetherian ring and let M be a nitely generated R-module. If I is an ideal of R generated by M-regular sequence, then we study the vanishing of the rst Tor functors. Moreover, for Artinian modules and coregular sequences we examine the vanishing of the rst Ext functors.

in this paper, we introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers. we give the relations between the strongly almost cesàro type convergence and almost statistical convergence in these spaces. furthermore, we study some of their properties like completeness, solidity, symmetricity etc. we also give some inclusion relations related to t...

Capsules from a range of pathogenic bacteria are the key determinants of virulency. The capsule hasbeen implicated in virulence of Pasteurella multocida. In this study a type-specific polymerase chain reaction(PCR) assay was used for capsular typing of 39 avian P. multocida isolates from Iran. The PCR amplified afragment of 1044 bp from all of tested isolates. It was found that all avian P. mul...