The Journal of the Indian Mathematical Society

Articles

• On Level 3 Ramanujan-Sato Type Series for 1/π

  K. R. Vasuki, T. Anusha, H. T. Shwetha

  01-09

  Keywords:

  Dedekind eta function, Modular equations, Theta Functions, Eisenstein series.

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  Abstract views: 16 times| Download: 3 times| https://doi.org/10.18311/jims/2024/36136

• On the q-Hypergeometric Matrix Function _rφ_s(A, B; C_i; D_j; q; z) and Its q-Fractional Calculus

  Ravi Dwivedi, Reshma Sanjhira

  11–24

  Keywords:

  Basic hypergeometric function, Mittag-Leffer function, Matrix functional calculus.

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  Abstract views: 10 times| Download: 2 times| https://doi.org/10.18311/jims/2024/36132

• Kolmogorov’s Axioms for Bihyperbolic Valued Probabilities

  Soumen Mondal, Chinmay Ghosh , Sanjib Kumar Datta

  25–44

  Keywords:

  Bihyperbolic numbers, Canonical representation, Null cone, Bihyperbolic valued probabilistic measure, Conditional probability.

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  Abstract views: 5 times| Download: 2 times| https://doi.org/10.18311/jims/2024/36135

• Almost Balancing-Like Sequences

  A. K. Panda, C. Rout

  45–54

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  Abstract views: 5 times| Download: 2 times| https://doi.org/10.18311/jims/2024/29815

• Value Distribution and Uniqueness of General Differential-Difference Polynomials

  Rajib Mandal, Raju Biswas

  55–76

  Keywords:

  Meromorphic function, Value distribution, Difference polynomial, Uniqueness, Order.

  2010 Mathematics Subject Classication, 30D35.

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  Abstract views: 6 times| Download: 2 times| https://doi.org/10.18311/jims/2024/29926

• Euclidean Algorithm in Imaginary Abelian Sextic Number Fields

  M. Subramani , Usha K. Sangale

  77–82

  Keywords:

  Euclidean rings, Number fields, Class number, Non-Wieferich primes, Primitive roots

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  Abstract views: 7 times| Download: 2 times| https://doi.org/10.18311/jims/2024/29992

• Convex-Cyclicity and K-Transitivity Of Semigroups of Operators on Finite and Infinite Dimensional Spaces

  Abhay Kumar

  83–94

  Keywords:

  Convex-cyclic operator, E-convex-cyclic operator, Convex cone transitive, Somewhere dense orbits

  47A16, 37B05

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  Abstract views: 6 times| Download: 2 times| https://doi.org/10.18311/jims/2024/30002

• Homological Quantum Codes Associated With A Class of Surface Maps

  Marbarisha M. Kharkongor, Debashis Bhowmik, Dipendu Maity

  95–110

  Keywords:

  Semi-equivelar maps; Homological Quantum Code; Polyhedral Maps; Covering Maps.

  94Bxx

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  Abstract views: 7 times| Download: 2 times| https://doi.org/10.18311/jims/2024/30192

• Some Congruence Properties of Stirling Numbers of the Second Kind

  A. Lalchhuangliana, S. S. Singh, Jitender Singh

  111–128

  Keywords:

  Congruence, divisibility, primes, p-adic valuation, Stirling numbers

  11A07, 11B73, 11E95.

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  Abstract views: 7 times| Download: 2 times| https://doi.org/10.18311/jims/2024/30253

• On Mac Lane’s Conditions and Disjointness Properties for Posets

  R. S. Shewale, Vilas Kharat

  129–144

  Keywords:

  Mac Lane conditions, disjointness properties, Upper semimodular poset, Closed poset, LU-subposet.

  06A06, 06B05, 06C10.

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  Abstract views: 4 times| Download: 2 times| https://doi.org/10.18311/jims/2024/30397

• On the Turan Type Inequalities and k-Analogue of Some Special Functions

  Jeet B. Gajera, Ranjan Kumar Jana

  145–154

  Keywords:

  Turan-type inequality, Cauchy-Bunyakovsky-Schwarz inequality, k-gamma function, k-gauss hypergeometric functions, k-confluent hypergeometric functions, k-Appell series F_1,k

  33Cxx, 26D07

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  Abstract views: 5 times| Download: 2 times| https://doi.org/10.18311/jims/2024/30476

• On Regular Genus and G-Degree of PL 4-Manifolds With Boundary

  Biplab Basak, Manisha Binjola

  155–170

  Keywords:

  PL-manifolds, Crystallizations, Regular genus, Gurau degree (G-degree)

  57Q15, 57Q05, 57K41, 05E45, 05C15

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  Abstract views: 4 times| Download: 2 times| https://doi.org/10.18311/jims/2024/30716

• Total Variation Diminishing (TVD) Method For Elastohydrodynamic Lubrication (EHL) Problem On Parallel Computers

  Peeyush Singh, Pravir K. Dutt

  171–202

  Keywords:

  EHL problems, PAQIF, LCP, TVD

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  Abstract views: 4 times| Download: 2 times| https://doi.org/10.18311/jims/2024/30918

• Backward Error of Approximate Eigenelements Of a Regular Rational Matrix

  Namita Behera

  203–216

  Keywords:

  Rational matrix, Realization, Matrix polynomial, Eigenvalue, Eigenvector, Fiedler pencil, Linearization, Backward error.

  65F15, 15A18, 15B57, 15A22

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  Abstract views: 5 times| Download: 2 times| https://doi.org/10.18311/jims/2024/31241

• Φ − X - Elements in Multiplicative Lattices

  Sachin Sarode

  217–228

  Keywords:

  Multiplicative lattice, Prime element, ϕ − X-element, ϕ − n-element, ϕ − J-element, ϕ − r-element, ϕ − n-ideal, ϕ − r-ideal, ϕ − J-ideal.

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  Abstract views: 5 times| Download: 2 times| https://doi.org/10.18311/jims/2024/31309

• Uniqueness Concerning Derivatives of A Meromorphic Function and Its Difference Polynomial

  Renukadevi S. Dyavanal, Deepa N. Angadi

  229–236

  Keywords:

  Nevanlinna theory, Partially shared values, Linear difference polynomial, Uniqueness, Meromorphic function.

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  Abstract views: 6 times| Download: 2 times| https://doi.org/10.18311/jims/2024/31324

• The Boundedness of Fractional Hardy-Littlewood Maximal Operator On Variable ℓ^p(·)(Z) Spaces Using Calderon-Zygmund Decomposition

  A. Sri Sakti Swarup, A. Michael Alphonse

  237–252

  Keywords:

  Calderon-Zygmund decomposition, Log Holder continuity, Fractional Hardy-Littlewood maximal operator, Variable sequence spaces.

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  Abstract views: 4 times| Download: 2 times| https://doi.org/10.18311/jims/2024/31327

• The Sharp Bounds of the Hankel Determinants For the Class of Convex Functions With Respect to Symmetric Points

  Biswajit Rath, K. Sanjay Kumar, D. Vamshee Krishna, G. K. Surya Viswanadh

  253-264

  Keywords:

  Analytic function, Upper bound, Hankel determinant, Carath´eodory function

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  Abstract views: 5 times| Download: 3 times| https://doi.org/10.18311/jims/2024/31402

• Modeling the Role of Seasonal Variability On The Dynamics of Mosquito-Borne Diseases

  Omprakash Singh Sisodiya, O. P. Misra, Joydip Dhar

  265–286

  Keywords:

  Mosquito-borne disease; Seasonality; Time-dependent reproduction number; Mosquito-control; Periodic steady state.

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  Abstract views: 11 times| Download: 2 times| https://doi.org/10.18311/jims/2024/31409