From the 1 of 6 linked papers with an AI index.
6 papers
Generalization of Ramanujan's Continued Fractions for Even Order
Dipika Sarkar, S. N. Fathima, M. P. Thejitha
The paper derives three families of generalized continued fractions for any even order using a Ramanujan continued‑fraction identity, establishes associated theta‑function identiti…
Arithmetic Properties of Overcolored Odd Partitions
M. P. Thejitha, S. N. Fathima
Let denote the number of partitions of , wherein each odd part is multicolored (atmost colors) and the first appearance of parts may be overlined. In thi…
Overcolored Partition Restricted by Parity of the Parts
M. P. Thejitha, S. N. Fathima
Very recently, Thejitha, Sellers, and Fathima defined the function , which enumerates the number of multicolored partitions of , wherein both even parts and odd part…
Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts
M. P. Thejitha, James A. Sellers, S. N. Fathima
Let denote the number of mutlicolored partitions of , wherein both even parts and odd parts may appear in one of -colors and -colors, respectively, for fixed…
Arithmetic Properties of Partitions with 1-colored Even Parts and r-colored Odd Parts
M. P. Thejitha, S. N. Fathima
Recently, Hirschhorn and Sellers defined the partition function , which counts the number of partitions of wherein even parts come in only one color, while the odd part…
Vanishing Coefficients of q^{5n+r} and q^{7n+r} in Certain Infinite q-series Expansions
M. P. Thejitha, Anusree Anand, S. N. Fathima
Motivated by the recent work of several authors on vanishing coefficients of the arithmetic progression in certain -series expansion, we study some variants of these -series…