Richard J. Mathar

[46] viXra:2606.0017 submitted on 2026-06-06 18:49:02 , (37 unique-IP downloads)

Hastings-Cody Approximations of the Integral of a Power Times the Complete Elliptic Integral of the First Kind

Authors: Richard J. Mathar
Category: Functions and Analysis

[45] viXra:2605.0040 submitted on 2026-05-12 16:59:04 , (90 unique-IP downloads)

Volume of General Spherical Wedges

Authors: Richard J. Mathar
Category: Geometry

[44] viXra:2603.0090 submitted on 2026-03-17 11:38:20 , (206 unique-IP downloads)

A Table of Pisano Period Lengths

Authors: Richard J. Mathar
Category: Number Theory

[43] viXra:2510.0141 submitted on 2025-10-28 11:41:01 , (351 unique-IP downloads)

Errata to Chapter 7 (Hypergeometric Constants) in Vol. 3 "Integrals and Series --- More Special Functions" (1990) by Prudnikov, Brychkov and Marichev

Authors: Richard J. Mathar, Artur Jasinski
Category: Functions and Analysis

[42] viXra:2507.0094 replaced on 2026-05-17 12:51:11 , (400 unique-IP downloads)

Erratum to Exercise A4.2 in "An Introduction to the Theory of the Riemann Zeta Function" (1988) by S. J. Patterson

Authors: Richard J. Mathar
Category: Quantum Physics

[41] viXra:2503.0103 replaced on 2025-06-03 15:27:44 , (767 unique-IP downloads)

Surface Area of the Mobius Strip

Authors: Richard J. Mathar
Category: Algebra

[40] viXra:2502.0097 submitted on 2025-02-14 18:48:25 , (226 unique-IP downloads)

The Eggenberger-Polya Urn Process: Probabilities of Revisited Ball Ratios

Authors: Richard J. Mathar
Category: Statistics

[39] viXra:2410.0145 submitted on 2024-10-23 20:33:10 , (340 unique-IP downloads)

Chord Diagrams with Directed Chords

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[38] viXra:2409.0023 submitted on 2024-09-06 16:30:37 , (263 unique-IP downloads)

Numerical Evaluation of Three Integrals of the Kind Int_0^oo X^m Dx/(1+x^n*sin^2 x)

Authors: Richard J. Mathar
Category: Functions and Analysis

[37] viXra:2405.0116 submitted on 2024-05-22 21:56:37 , (389 unique-IP downloads)

Expansion of the Gravitational Potential of the Prolate Homogeneous Ellipsoid in Spherical Multipoles

Authors: Richard J. Mathar
Category: Astrophysics

[36] viXra:2404.0122 submitted on 2024-04-25 17:40:35 , (343 unique-IP downloads)

Bivariate Generating Functions for Non-attacking Wazirs on Rectangular Boards

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[35] viXra:2403.0086 submitted on 2024-03-19 02:52:53 , (271 unique-IP downloads)

Zernike Expansion of Chebyshev Polynomials of the First Kind

Authors: Richard J. Mathar
Category: Functions and Analysis

[34] viXra:2306.0157 submitted on 2023-06-28 20:14:57 , (349 unique-IP downloads)

Rencontres for Equipartite Distributions of Multisets of Colored Balls into Urns

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[33] viXra:2306.0098 submitted on 2023-06-16 14:25:18 , (291 unique-IP downloads)

The Series Limit of Sum_k Cos(a Log K)/[k Log k]

Authors: Richard J. Mathar
Category: Functions and Analysis

[32] viXra:2306.0081 submitted on 2023-06-14 03:36:54 , (324 unique-IP downloads)

Statistics of L1 Distances in the Finite Square Lattice

Authors: Richard J. Mathar
Category: Statistics

[31] viXra:2210.0029 submitted on 2022-10-07 16:18:58 , (219 unique-IP downloads)

Olutions to the Exponential Diophantine 1 + P_1^x + P_2^y + P_3^z = W^2 for Distinct Primes P_1, P_2, P_3.

Authors: Richard J. Mathar
Category: Number Theory

[30] viXra:2210.0026 replaced on 2025-09-06 23:01:14 , (549 unique-IP downloads)

Reduction Formulas of the Cosine of Integer Fractions of Pi

Authors: Richard J. Mathar
Category: Functions and Analysis

[29] viXra:2208.0111 submitted on 2022-08-19 17:21:48 , (426 unique-IP downloads)

Recurrence for the Atkinson-Steenwijk Integrals for Resistors in the Infinite Triangular Lattice

Authors: Richard J. Mathar
Category: Functions and Analysis

[28] viXra:2207.0148 submitted on 2022-07-25 14:14:17 , (664 unique-IP downloads)

Erratum to "Tables of Integral Transforms" by A. Erdelyi, W. Magnus, F. Oberhettinger & F. G. Tricomi (1953), p. 61 (4)

Authors: Richard J. Mathar
Category: Functions and Analysis

[27] viXra:2009.0152 submitted on 2020-09-21 12:59:26, (371 unique-IP downloads)

Motzkin Islands: a 3-dimensional Embedding of Motzkin Paths

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[26] viXra:2001.0603 replaced on 2022-01-28 11:04:31, (5805 unique-IP downloads)

Solid Angle of a Rectangular Plate

Authors: Richard J. Mathar
Category: Functions and Analysis

[25] viXra:1911.0287 submitted on 2019-11-17 08:18:55, (436 unique-IP downloads)

Recurring Pairs of Consecutive Entries in the Number-of-Divisors Function

Authors: Richard J. Mathar
Category: Number Theory

[24] viXra:1909.0201 replaced on 2022-06-16 13:50:34, (595 unique-IP downloads)

The Non-forced Spherical Pendulum: Semi-numerical Solutions

Authors: Richard J. Mathar
Category: Classical Physics

[23] viXra:1905.0474 replaced on 2021-03-25 11:46:51, (957 unique-IP downloads)

Corrigendum to "Polyomino Enumeration Results. (Parkin et al., SIAM Fall Meeting 1967)"

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[22] viXra:1901.0148 submitted on 2019-01-11 09:53:29, (1410 unique-IP downloads)

Feynman Diagrams of the QED Vacuum Polarization

Authors: Richard J. Mathar
Category: Quantum Physics

[21] viXra:1805.0205 submitted on 2018-05-10 10:33:08, (401 unique-IP downloads)

Labeled Trees with Fixed Node Label Sum

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[20] viXra:1802.0035 replaced on 2021-10-07 13:27:22, (1020 unique-IP downloads)

Translation of Some Star Catalogs to the XEphem Format

Authors: Richard J. Mathar
Category: Astrophysics

[19] viXra:1709.0304 submitted on 2017-09-20 07:24:33, (498 unique-IP downloads)

Boys' Function Computed by Gauss-Jacobi Quadrature

Authors: Richard J. Mathar
Category: Functions and Analysis

[18] viXra:1708.0404 submitted on 2017-08-28 06:04:10, (344 unique-IP downloads)

Statistics on Small Graphs

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[17] viXra:1705.0216 replaced on 2019-02-11 07:50:02, (686 unique-IP downloads)

Improved First Estimates to the Solution of Kepler's Equation

Authors: Richard J. Mathar
Category: Astrophysics

[16] viXra:1608.0380 submitted on 2016-08-28 11:00:45, (2265 unique-IP downloads)

Tiling Hexagons with Smaller Hexagons and Unit Triangles

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[15] viXra:1606.0141 replaced on 2016-06-21 11:42:55, (613 unique-IP downloads)

Some Definite Integrals Over a Power Multiplied by Four Modified Bessel Functions

Authors: Richard J. Mathar
Category: Functions and Analysis

[14] viXra:1511.0225 replaced on 2015-12-05 16:57:21, (1007 unique-IP downloads)

Counting 2-way Monotonic Terrace Forms over Rectangular Landscapes

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[13] viXra:1511.0077 submitted on 2015-11-10 07:45:51, (423 unique-IP downloads)

Abscissa and Weights for Gaussian Quadratures of Modified Bessel Functions Integrated from Zero to Infinity

Authors: Richard J. Mathar
Category: Functions and Analysis

[12] viXra:1511.0015 submitted on 2015-11-02 15:32:57, (564 unique-IP downloads)

A Class of Multinomial Permutations Avoiding Object Clusters

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[11] viXra:1509.0140 replaced on 2016-12-01 05:58:16, (8250 unique-IP downloads)

A Computer Program to Solve Water Jug Pouring Puzzles.

Authors: Richard J. Mathar
Category: Combinatorics and Graph Theory

[10] viXra:1508.0070 replaced on 2024-03-26 14:42:06 , (446 unique-IP downloads)

Hip2wrl: a Java Program to Represent a Hipparcos Star Collection as a X3D File

Authors: Richard J. Mathar
Category: Geometry

[9] viXra:1507.0089 submitted on 2015-07-13 11:51:55, (630 unique-IP downloads)

Irreducible Representations of Small Abstract Groups Computed with GAP

Authors: Richard J. Mathar
Category: Algebra

[8] viXra:1504.0032 submitted on 2015-04-03 18:57:03, (418 unique-IP downloads)

Smallest Symmetric Supergroups Of the Abstract Groups Up to Order 37

Authors: Richard J. Mathar
Category: Algebra

[7] viXra:1408.0064 replaced on 2016-10-08 13:46:48, (369 unique-IP downloads)

Four-Center Integral of a Dipolar Two-Electron Potential Between S-Type Gto's

Authors: Richard J. Mathar
Category: Nuclear and Atomic Physics

[6] viXra:1406.0183 replaced on 2018-03-28 03:55:07, (1593 unique-IP downloads)

Plots of Cycle Graphs of the Finite Groups up to Order 36.

Authors: Richard J. Mathar
Category: Algebra

[5] viXra:1403.0977 replaced on 2024-05-06 16:11:04 , (1438 unique-IP downloads)

Solid Angle of the Off-Axis Circle Sector

Authors: Richard J. Mathar
Category: Quantum Physics

[4] viXra:1303.0038 replaced on 2013-03-21 04:33:40, (996 unique-IP downloads)

Gaussian Quadrature of the Integrals Int_(-Infty)^infty F(x) dx / Cosh(x)

Authors: Richard J. Mathar
Category: Functions and Analysis

[3] viXra:1303.0013 replaced on 2024-03-18 18:24:09 , (4868 unique-IP downloads)

Gauss-Laguerre and Gauss-Hermite Quadrature on 64, 96 and 128 Nodes

Authors: Richard J. Mathar
Category: Number Theory

[2] viXra:1202.0093 replaced on 2012-12-04 06:11:53, (522 unique-IP downloads)

Symmetries in Wigner 18-J and 21-J Symbols

Authors: Richard J. Mathar
Category: Quantum Physics

[1] viXra:1202.0015 submitted on 2012-02-06 15:20:56, (409 unique-IP downloads)

Volume of the Off-center Spherical Pyramidal Trunk

Authors: Richard J. Mathar
Category: Functions and Analysis