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Factorials of real negative and imaginary numbers - A new perspective

Overview of attention for article published in SpringerPlus, November 2014
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About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (93rd percentile)
  • High Attention Score compared to outputs of the same age and source (93rd percentile)

Mentioned by

blogs
2 blogs
twitter
9 tweeters
wikipedia
1 Wikipedia page
q&a
1 Q&A thread

Citations

dimensions_citation
5 Dimensions

Readers on

mendeley
11 Mendeley
Title
Factorials of real negative and imaginary numbers - A new perspective
Published in
SpringerPlus, November 2014
DOI 10.1186/2193-1801-3-658
Pubmed ID
Authors

Ashwani K Thukral

Abstract

Presently, factorials of real negative numbers and imaginary numbers, except for zero and negative integers are interpolated using the Euler's gamma function. In the present paper, the concept of factorials has been generalised as applicable to real and imaginary numbers, and multifactorials. New functions based on Euler's factorial function have been proposed for the factorials of real negative and imaginary numbers. As per the present concept, the factorials of real negative numbers, are complex numbers. The factorials of real negative integers have their imaginary part equal to zero, thus are real numbers. Similarly, the factorials of imaginary numbers are complex numbers. The moduli of the complex factorials of real negative numbers, and imaginary numbers are equal to their respective real positive number factorials. Fractional factorials and multifactorials have been defined in a new perspective. The proposed concept has also been extended to Euler's gamma function for real negative numbers and imaginary numbers, and beta function.

Twitter Demographics

The data shown below were collected from the profiles of 9 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 11 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 11 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 2 18%
Researcher 2 18%
Professor 1 9%
Lecturer 1 9%
Student > Bachelor 1 9%
Other 1 9%
Unknown 3 27%
Readers by discipline Count As %
Engineering 3 27%
Mathematics 1 9%
Environmental Science 1 9%
Chemistry 1 9%
Physics and Astronomy 1 9%
Other 0 0%
Unknown 4 36%

Attention Score in Context

This research output has an Altmetric Attention Score of 25. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 03 May 2021.
All research outputs
#1,298,429
of 22,908,162 outputs
Outputs from SpringerPlus
#61
of 1,850 outputs
Outputs of similar age
#16,281
of 263,021 outputs
Outputs of similar age from SpringerPlus
#6
of 97 outputs
Altmetric has tracked 22,908,162 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 94th percentile: it's in the top 10% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 1,850 research outputs from this source. They typically receive a little more attention than average, with a mean Attention Score of 5.7. This one has done particularly well, scoring higher than 96% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 263,021 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 93% of its contemporaries.
We're also able to compare this research output to 97 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 93% of its contemporaries.