Serdica Mathematical Journal

Volume 47, Number 3, 2021




C O N T E N T S

· Reddy, P. A., M. G. Rao, V. S. Rama Prasad. On the lcm-sum function over arbitrary sets of integers (pp. 179−190)
· Waghamore, H. P., P. N. Raj. Uniqueness results on meromorphic functions concerning their shift and differential polynomial (pp. 191−212)
· Rathod, A. On algebroid functions that share one finite value with their derivative on annuli (pp. 213−240)
· Singh, G., G. Singh. A note on subclasses of multivalent functions (pp. 241−254)
· Todorova, T. L. On the lcm-sum function over arbitrary sets of integers (pp. 255−272)

A B S T R A C T S


ON THE LCM-SUM FUNCTION OVER ARBITRARY SETS OF INTEGERS
P. Anantha Reddy ananth_palle@yahoo.co.in
M. Ganeshwar Rao ganehwararao_maths@cbit.ac.in
V. Siva Rama Prasad vangalasrp@yahoo.co.in

2020 Mathematics Subject Classification: Primary 11A25; Secondary 11N37.
Key words: Zeta-function of S, unitary divisor, r-free integer, semi-r-free integer, unitary r-free integer, (k,r)-integer.


UNIQUENESS RESULTS ON MEROMORPHIC FUNCTIONS CONCERNING THEIR SHIFT AND DIFFERENTIAL POLYNOMIAL
Harina P. Waghamore harina@bub.ernet.in, harinapw@gmail.com
Preetham N. Raj preethamnraj@bub.ernet.in, preethamnraj@gmail.com

2020 Mathematics Subject Classification: Primary 30D35.
Key words: Meromorphic function, shift, differential polynomial, unicity, weighted sharing.


ON ALGEBROID FUNCTIONS THAT SHARE ONE FINITE VALUE WITH THEIR DERIVATIVE ON ANNULI
Ashok Rathod ashokmrmaths@gmail.com

2020 Mathematics Subject Classification: 30D35.
Key words: Value Distribution Theory, algebroid functions, share DM, annuli.


A NOTE ON SUBCLASSES OF MULTIVALENT FUNCTIONS
Gagandeep Singh kamboj.gagandeep@yahoo.in
Gurcharanjit Singh dhillongs82@yahoo.com

2020 Mathematics Subject Classification: 30C45, 30C50.
Key words: Analytic functions, multivalent functions, subordination, Sãlãgean operator, coefficient estimates, distortion theorem, argument theorem.


DIOPHANTINE APPROXIMATION BY PRIME NUMBERS OF A SPECIAL FORM
Tatiana L. Todorova tlt@fmi.uni-sofia.bg

2020 Mathematics Subject Classification: 11D75, 11N36, 11P32.
Key words: Rosser's weights, vector sieve, circle method, almost primes, diophantine inequality.



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