Papers by Bijendra Pratap Singh
Open Journal of Mathematical Modeling, 2013
International Journal of Computer Applications, 2013
In this paper we prove some common fixed point theorems for a pair of self mappings which possess... more In this paper we prove some common fixed point theorems for a pair of self mappings which possess the common (E.A.) like property and satisfy certain sufficient conditions in the fuzzy metric space. Our result generalized the result of .
Open Journal of Mathematical Modeling, 2013
Turkish Journal of Analysis and Number Theory, 2014
The Fibonacci sequence is a source of many nice and interesting identities. A similar interpretat... more The Fibonacci sequence is a source of many nice and interesting identities. A similar interpretation exists for Lucas sequence. The Fibonacci sequence, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula − − = + , 2 n ≥ with B 0 = 2b, B 1 = s, where b and s are integers. We present some standard identities and determinant identities of generalized Fibonacci-Lucas sequences by Binet's formula and other simple methods.
Global Journal of Mathematical Analysis, 2013
International Journal of Advanced Mathematical Sciences, 2013
The Fibonacci sequence and Fibonacci polynomials are famous for possessing wonderful and amazing ... more The Fibonacci sequence and Fibonacci polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, Fibonacci-Like polynomials (FLP) is introduce and define by 12 2 n n n s (x) xs (x) s (x), n with 0 s (x)=2 and 1 s (x)=2x. Also some basic identities are presented and derived by standard method.
International Journal of Computer Applications, 2013
In the recent years, there has been much interest in development of coupled Fibonacci sequences. ... more In the recent years, there has been much interest in development of coupled Fibonacci sequences. The concept of coupled Fibonacci sequences was first introduced by Atanassov, K. T. in 1985. He deliberated multiplicative coupled Fibonacci sequences of second order in 1995. Multiplicative coupled Fibonacci sequences are less known. In this paper we present some identities of multiplicative coupled Fibonacci sequences of second order under three specific schemes.
International Journal of Advanced Mathematical Sciences, 2013
The Fibonacci and Lucas sequences are well-known examples of second order recurrence sequences, w... more The Fibonacci and Lucas sequences are well-known examples of second order recurrence sequences, which belong to particular class of recursive sequences. In this article, Fibonacci-Like sequence is introduced and defined by 1 2 0 1 2 for 2 with 2 , 1. The Binet's formula and generating function of Fibonacci-Like sequence are presented with some identities and connection formulae.
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Papers by Bijendra Pratap Singh