Generalized Fibonacci Sequence and Related Polynomials

This text on Generalized Fibonacci sequence and related polynomials is intended for the researchers and mathematicians. It is also a source of references for academicians looking for detailed proofs on Generalized Fibonacci sequence with properties and proofs. Dr. Shikha studied in the Vikram University (Ujjain) from graduation to doctoral levels. In the realm of mathematics, many concepts have applications in multiple mathematical fields. Without these important concepts, every field of mathematics would be seemingly disjointed and unrelated to topics from other mathematical fields. One of these concepts was discovered by a man named Leonardo Pisano during the early 13th century. This particular concept is known today as the Fibonacci sequence. The Fibonacci sequence has become one of the most fascinating concepts in the entire realm of mathematics through its remarkable characteristics; its useful applications to various mathematical fields such as number theory, discrete mathematics and geometry; and its clear demonstration of the aesthetic nature of God.