Search Results - "Nagpal, Sumit"
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1
Radius of Convexity for Analytic Part of Sense-Preserving Harmonic Mappings
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-09-2022)“…Given a sense-preserving harmonic function f = h + g ¯ defined in the open unit disk, the radius of convexity for the analytic part h is determined under…”
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2
Exponential radii of starlikeness and convexity of some special functions
Published in The Ramanujan journal (01-09-2024)“…Using the Hadamard factorization, the exponential radii of starlikeness and convexity for various special functions like Wright function, Lommel function,…”
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3
Coefficient functionals for non-Bazilevič functions
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (2022)“…Sharp bounds on the second and third order Hermitian-Toeplitz determinants, initial logarithmic and inverse coefficients for functions in the class of…”
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4
Inclusion relations and radius problems for a subclass of starlike functions
Published in Journal of the Korean Mathematical Society (01-09-2021)“…By considering the polynomial function $\phi_{car}(z)=1+z+z^2/2,$ we define the class $\Scar$ consisting of normalized analytic functions $f$ such that $zf'/f$…”
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5
Exponential Starlikeness and Convexity of Confluent Hypergeometric, Lommel, and Struve Functions
Published in Mediterranean journal of mathematics (01-12-2020)“…Sufficient conditions are obtained on the parameters of Lommel function of the first kind, generalized Struve function of the first kind, and the confluent…”
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6
Marx–Strohhäcker theorem for multivalent functions
Published in Afrika mathematica (01-11-2021)“…Some differential implications of classical Marx–Strohhäcker theorem are extended for multivalent functions. These results are also generalized for functions…”
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7
CONSTRUCTION OF SUBCLASSES OF UNIVALENT HARMONIC MAPPINGS
Published in Journal of the Korean Mathematical Society (01-05-2014)“…Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new method- ology is employed to…”
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8
On the Product of Planar Harmonic Mappings
Published in Computational methods and function theory (01-09-2021)“…Given two harmonic functions f 1 = h 1 + g ¯ 1 and f 2 = h 2 + g ¯ 2 defined on the open unit disk of the complex plane, the geometric properties of the…”
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9
INCLUSION RELATIONS AND RADIUS PROBLEMS FOR A SUBCLASS OF STARLIKE FUNCTIONS
Published in Journal of the Korean Mathematical Society (2021)“…By considering the polynomial function car(z) = 1 + z + z2/2, we define the class *car consisting of normalized analytic functions f such that zf'/f is…”
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10
CONSTRUCTION OF SUBCLASSES OF UNIVALENT HARMONIC MAPPINGS
Published in Journal of the Korean Mathematical Society (2014)“…Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct…”
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11
Radius Constants for Functions with the Prescribed Coefficient Bounds
Published in Abstract and Applied Analysis (01-01-2014)“…For an analytic univalent function f(z)=z+∑n=2∞anzn in the unit disk, it is well-known that an≤n for n≥2. But the inequality an≤n does not imply the univalence…”
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12
Radius of convexity of classes associated with the ratio of derivative functions
Published in Rendiconti del Circolo matematico di Palermo (01-03-2024)“…The sharp radius of convexity of the classes consisting of normalized analytic functions f defined in the open unit disk is determined such that the condition…”
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13
Radius Problems for the New Product of Planar Harmonic Mappings
Published in Computational methods and function theory (17-04-2024)Get full text
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14
On a Subclass of Strongly Starlike Functions Associated with Exponential Function
Published in Bulletin of the Malaysian Mathematical Sciences Society (2015)“…Let S e ∗ denote the class of analytic functions f in the open unit disk normalized by f ( 0 ) = f ′ ( 0 ) - 1 = 0 and satisfying the condition z f ′ ( z ) / f…”
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15
Star-likeness associated with the exponential function
Published in Turkish journal of mathematics (01-01-2019)Get full text
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16
A subclass of close-to-convex harmonic mappings
Published in Complex variables and elliptic equations (01-02-2014)“…A subclass of complex-valued close-to-convex harmonic functions that are univalent and sense-preserving in the open unit disc is investigated. The coefficient…”
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17
Univalence and convexity in one direction of the convolution of harmonic mappings
Published in Complex variables and elliptic equations (02-09-2014)“…Let denote the class of all complex-valued harmonic functions in the open unit disc normalized by , and let be the subclass of consisting of normalized…”
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18
Convolution properties of the harmonic Koebe function and its connection with 2-starlike mappings
Published in Complex variables and elliptic equations (01-02-2015)“…In 1984, Clunie and Sheil-Small constructed the harmonic Koebe function expecting it to play the role of extremal function for extremal problems over the class…”
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19
Marx-Strohh\"{a}cker theorem for Multivalent Functions
Published 22-03-2021“…Some differential implications of classical Marx-Strohh\"acker theorem are extended for multivalent functions. These results are also generalized for functions…”
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20
Geometric Properties of Generalized Bessel Function associated with the Exponential Function
Published 15-01-2021“…Sufficient conditions are determined on the parameters such that the generalized and normalized Bessel function of the first kind and other related functions…”
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