Results 1 to 10 of about 1,125 (78)
Rotationally Symmetric Lacunary Functions and Products of Centered Polygonal Lacunary Functions
Fractal and Fractional, 2020 This work builds upon previous studies of centered polygonal lacunary functions by presenting proofs of theorems showing how rotational and dihedral mirror symmetry manifest in these lacunary functions at the modulus level.
L. K. Mork +3 more
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Mathematics, 2020 This work investigates centered polygonal lacunary functions restricted from the unit disk onto symmetry angle space which is defined by the symmetry angles of a given centered polygonal lacunary function. This restriction allows for one to consider only
Leah K. Mork +2 more
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Centered Polygonal Lacunary Sequences
Mathematics, 2019 Lacunary functions based on centered polygonal numbers have interesting features which are distinct from general lacunary functions. These features include rotational symmetry of the modulus of the functions and a notion of polished level sets.
Keith Sullivan +2 more
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Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions
Fractal and Fractional, 2019 Centered polygonal lacunary functions are a particular type of lacunary function that exhibit properties which set them apart from other lacunary functions. Primarily, centered polygonal lacunary functions have true rotational symmetry.
L.K. Mork +4 more
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Sum of Squares of ‘m’ Consecutive Woodall Numbers
مجلة بغداد للعلوم, 2023 This paper discusses the Sums of Squares of “m” consecutive Woodall Numbers. These discussions are made from the definition of Woodall numbers. Also learn the comparability of Woodall numbers and other special numbers.
P. Shanmuganandham, T. Deepika
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Mathematics, 2019 This work is on the nature and properties of graphs which arise in the study of centered polygonal lacunary functions. Such graphs carry both graph-theoretic properties and properties related to the so-called p-sequences found in the study of centered ...
Keith Sullivan +2 more
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Centered polygon numbers, heptagons and nonagons, and the Robbins numbers
, 2021 In this note, we explore certain determinantal descriptions of the Robbins numbers. Techniques used for this include continued fractions, Riordan arrays and series inversion. Proven and conjectured representations involve the determinants of both Hankel and symmetric matrices.
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Simple continued fractions for centered polygonal numbers
, 2022 Summary: In this paper, basic information about centered polygonal numbers and continued fractions are given. By using the continued fraction algorithm, the relations between centered polygonal numbers and continued fractions have been studied. A general form for continued fractions of ratios of centered polygonal numbers of consecutive order is ...
Emin, Ahmet, Sarp, Ümit
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Log-Concavity of Centered Polygonal Figurate Number Sequences
OALib, 2016 This paper investigates the log-concavity of the centered m-gonal figurate number sequences. The author proves that for m≥3, the sequence {Cn(m)}n≥1 of centered m-gonal figurate numbers is a log-concave.
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Evaluation of Some Centered Polygonal Numbers by Using the Division Algorithm
Journal of Mathematics and Informatics, 2017 V. Pandichelvi, P. Sivakamasundari
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